MathWiki - User contributions [en]

Math 522: Methods of Applied Math 2

2011-08-26T20:22:17Z

Jcd47: /* Desired Learning Outcomes */

== Catalog Information ==

=== Title ===
Methods of Applied Mathematics 2.

=== Credit Hours ===
3

=== Prerequisite ===
[[Math 334]] or equivalents.

=== Description ===
Possible topics include variational, integral, and partial differential equations; spectral and transform methods; nonlinear waves; Green's functions; scaling and asymptotic analysis; perturbation theory; continuum
mechanics.

== Desired Learning Outcomes ==
The object of this course is to familiarize students with classical techniques in applied mathematics and demonstrate their application to specific problems.
=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">

</div>
=== Textbooks ===

Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===

=== Courses for which this course is prerequisite ===

[[Category:Courses|522]]

Math 521: Methods of Applied Math 1

2011-08-26T20:19:28Z

Jcd47: /* Desired Learning Outcomes */

== Catalog Information ==

=== Title ===
Methods of Applied Mathematics 1.

=== Credit Hours ===
3

=== Prerequisite ===
[[Math 334]] or equivalents.

=== Description ===
Possible topics include variational, integral, and partial differential equations; spectral and transform methods; nonlinear waves; Green's functions; scaling and asymptotic analysis; perturbation theory; continuum
mechanics.

== Desired Learning Outcomes ==
The object of this course is to familiarize students with classical techniques in applied mathematics and demonstrate their application to specific problems. The list above gives examples of possible techniques and problems.
=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">

</div>
=== Textbooks ===

Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===

=== Courses for which this course is prerequisite ===

[[Category:Courses|521]]

Math 521: Methods of Applied Math 1

2011-08-26T20:18:29Z

Jcd47: /* Desired Learning Outcomes */

== Catalog Information ==

=== Title ===
Methods of Applied Mathematics 1.

=== Credit Hours ===
3

=== Prerequisite ===
[[Math 334]] or equivalents.

=== Description ===
Possible topics include variational, integral, and partial differential equations; spectral and transform methods; nonlinear waves; Green's functions; scaling and asymptotic analysis; perturbation theory; continuum
mechanics.

== Desired Learning Outcomes ==
The object of this course is to familiarize students with classical techniques in applied mathematics and demonstrate their application to specific problems. The list above gives examples of possible techniques.
=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">

</div>
=== Textbooks ===

Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===

=== Courses for which this course is prerequisite ===

[[Category:Courses|521]]

Math 425: Mathematical Biology

2011-08-23T18:26:10Z

Jcd47: /* Minimal learning outcomes */

== Catalog Information ==

=== Title ===
Mathematical Biology.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(3:3:0)

=== Offered ===
F

=== Prerequisite ===
[[Math 112]].

=== Description ===
Using tools in mathematics to help biologists. Motivating new mathematics with questions in biology.

== Desired Learning Outcomes ==

Students should gain a familiarity with how the disciplines of mathematics and biology can complement each other.

=== Prerequisites ===

A knowledge of calculus (and the mathematical maturity that having passed [[Math 112]] entails) should suffice.

=== Minimal learning outcomes ===

Students should become familiar with discrete and continuous models of biological phenomena. They should know the technical terms, and be able to implement the procedures taught in the course to solve problems based on these models. Possible topics include:
<div style="-moz-column-count:2; column-count:2;">

# Signal Transduction
#* Menten Michaelis enzyme dynamics
#* Law of mass action
#* Dynamical systems
#* Bifurcation
# Example systems
#* Fitzhugh-Nagumo
#* Nerve and heart dynamics
#* Cell cycle model
#* cAMP
# Population models
#* Continuous predator-prey
#* Age structured models
#* Discrete dynamical systems
#* Time delayed differential equations
#* Stochastic models
</div>

=== Textbooks ===

Possible textbooks for this course include (but are not limited to):

* A Course in Mathematical Biology. Quantitative Modeling with Mathematical and Computational Methods. By Gerda de Vries, Thomas Hillen, Mark Lewis, Johannes Muller, Birgitt Schonfisch

=== Additional Topics ===

These are at the discretion of the instructor as time allows.

=== Courses for which this course is prerequisite ===

None.

[[Category:Courses|425]]

Math 425: Mathematical Biology

2011-08-23T18:08:33Z

Jcd47: /* Minimal learning outcomes */

== Catalog Information ==

=== Title ===
Mathematical Biology.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(3:3:0)

=== Offered ===
F

=== Prerequisite ===
[[Math 112]].

=== Description ===
Using tools in mathematics to help biologists. Motivating new mathematics with questions in biology.

== Desired Learning Outcomes ==

Students should gain a familiarity with how the disciplines of mathematics and biology can complement each other.

=== Prerequisites ===

A knowledge of calculus (and the mathematical maturity that having passed [[Math 112]] entails) should suffice.

=== Minimal learning outcomes ===

Students should be familiar with the following discrete and continuous models of biological phenomena. They should know the technical terms, and be able to implement the procedures taught in the course to solve problems based on these models. Possible topics include:
<div style="-moz-column-count:2; column-count:2;">

# Signal Transduction
#* Menten Michaelis enzyme dynamics
#* Law of mass action
#* Dynamical systems
#* Bifurcation
# Example systems
#* Fitzhugh-Nagumo
#* Nerve and heart dynamics
#* Cell cycle model
#* cAMP
# Population models
#* Continuous predator-prey
#* Age structured models
#* Discrete dynamical systems
#* Time delayed differential equations
#* Stochastic models
</div>

=== Textbooks ===

Possible textbooks for this course include (but are not limited to):

* A Course in Mathematical Biology. Quantitative Modeling with Mathematical and Computational Methods. By Gerda de Vries, Thomas Hillen, Mark Lewis, Johannes Muller, Birgitt Schonfisch

=== Additional Topics ===

These are at the discretion of the instructor as time allows.

=== Courses for which this course is prerequisite ===

None.

[[Category:Courses|425]]

Math 425: Mathematical Biology

2011-08-23T18:04:48Z

Jcd47: /* Textbooks */

== Catalog Information ==

=== Title ===
Mathematical Biology.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(3:3:0)

=== Offered ===
F

=== Prerequisite ===
[[Math 112]].

=== Description ===
Using tools in mathematics to help biologists. Motivating new mathematics with questions in biology.

== Desired Learning Outcomes ==

Students should gain a familiarity with how the disciplines of mathematics and biology can complement each other.

=== Prerequisites ===

A knowledge of calculus (and the mathematical maturity that having passed [[Math 112]] entails) should suffice.

=== Minimal learning outcomes ===

Students should be familiar with the following discrete and continuous models of biological phenomena. They should know the technical terms, and be able to implement the procedures taught in the course to solve problems based on these models.
<div style="-moz-column-count:2; column-count:2;">

# Signal transduction
#* Menten Michaelis enzyme dynamics
#* Law of mass action
#* Dynamical systems
#* Bifurcation
# Example systems
#* Fitzhugh-Nagumo
#* Nerve and heart dynamics
#* Cell cycle model
#* cAMP
# Population models
#* Continuous predator-prey
#* Age structured models
#* Discrete dynamical systems
#* Time delayed differential equations
#* Stochastic models
</div>
=== Textbooks ===

Possible textbooks for this course include (but are not limited to):

* A Course in Mathematical Biology. Quantitative Modeling with Mathematical and Computational Methods. By Gerda de Vries, Thomas Hillen, Mark Lewis, Johannes Muller, Birgitt Schonfisch

=== Additional Topics ===

These are at the discretion of the instructor as time allows.

=== Courses for which this course is prerequisite ===

None.

[[Category:Courses|425]]

Math 425: Mathematical Biology

2011-08-23T18:04:18Z

Jcd47: /* Textbooks */

== Catalog Information ==

=== Title ===
Mathematical Biology.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(3:3:0)

=== Offered ===
F

=== Prerequisite ===
[[Math 112]].

=== Description ===
Using tools in mathematics to help biologists. Motivating new mathematics with questions in biology.

== Desired Learning Outcomes ==

Students should gain a familiarity with how the disciplines of mathematics and biology can complement each other.

=== Prerequisites ===

A knowledge of calculus (and the mathematical maturity that having passed [[Math 112]] entails) should suffice.

=== Minimal learning outcomes ===

Students should be familiar with the following discrete and continuous models of biological phenomena. They should know the technical terms, and be able to implement the procedures taught in the course to solve problems based on these models.
<div style="-moz-column-count:2; column-count:2;">

# Signal transduction
#* Menten Michaelis enzyme dynamics
#* Law of mass action
#* Dynamical systems
#* Bifurcation
# Example systems
#* Fitzhugh-Nagumo
#* Nerve and heart dynamics
#* Cell cycle model
#* cAMP
# Population models
#* Continuous predator-prey
#* Age structured models
#* Discrete dynamical systems
#* Time delayed differential equations
#* Stochastic models
</div>
=== Textbooks ===

Possible textbooks for this course include (but are not limited to):

A Course in Mathematical Biology. Quantitative Modeling with Mathematical and Computational Methods. By Gerda de Vries, Thomas Hillen, Mark Lewis, Johannes Muller, Birgitt Schonfisch

*

=== Additional Topics ===

These are at the discretion of the instructor as time allows.

=== Courses for which this course is prerequisite ===

None.

[[Category:Courses|425]]

Math 119

2010-11-03T03:35:58Z

Jcd47: /* Note */

== Catalog Information ==

=== Title ===
Introduction to Calculus.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(4:4:1)

=== Offered ===
F, W, Sp, Su

=== Prerequisite ===
[[Math 110]] or equivalent.

=== Description ===
Introduction to plane analytic geometry and calculus.

=== Note ===
Effective Fall 2011: The math department recommends that students considering taking Math 119 should instead consider taking Math 112 (for Life Sciences students) or Math 118 (for students in the Marriott School of Management). Beginning Fall 2011 Math 119 will be available as an evening course through the department of continuing education.

== Desired Learning Outcomes ==
This course is designed to provide beginning undergraduate students a first exposure to Calculus concepts, theorems, and techniques. In general, theorems will not be proved. An understanding of the theorems and their applications to solve calculus problems will be taught. Students will be expected to develop effective problem solving skills based on their understanding of the theory and not just memorize a set of routines to solve problems.

=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">
# Determine limits of functions from their graphs or equations.
# Analyze and apply the notions of continuity and differentiability to functions.
# Calculate derivatives for a variety of simple functions and use the concept of derivative to solve problems from various applications.
# Use derivatives to construct and analyze graphs of selected functions.
# Use various techniques to determine antiderivatives of simple functions.
# Demonstrate the connection between area and the definite integral.
# Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
# Integrate selected functions and apply the concepts of integration to solve various applications.</div>

=== Textbooks ===
Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===
A brief introduction to multivariable calculus, solving simple differential equations, topics in probability and statistics, sequences, and series.

=== Courses for which this course is prerequisite ===
This course is not a prerequisite for any math course at Brigham Young University.
[[Category:Courses|119]]

Math 119

2010-11-03T03:32:30Z

Jcd47: /* Note */

== Catalog Information ==

=== Title ===
Introduction to Calculus.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(4:4:1)

=== Offered ===
F, W, Sp, Su

=== Prerequisite ===
[[Math 110]] or equivalent.

=== Description ===
Introduction to plane analytic geometry and calculus.

=== Note ===
The math department recommends that students who would have taken Math 119 before Fall 2011 now consider Math 112 (for Life Sciences students) or Math 118 (for students in the Marriott School of Management). Beginning Fall 2011 Math 119 will be available as an evening course through the department of continuing education.

== Desired Learning Outcomes ==
This course is designed to provide beginning undergraduate students a first exposure to Calculus concepts, theorems, and techniques. In general, theorems will not be proved. An understanding of the theorems and their applications to solve calculus problems will be taught. Students will be expected to develop effective problem solving skills based on their understanding of the theory and not just memorize a set of routines to solve problems.

=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">
# Determine limits of functions from their graphs or equations.
# Analyze and apply the notions of continuity and differentiability to functions.
# Calculate derivatives for a variety of simple functions and use the concept of derivative to solve problems from various applications.
# Use derivatives to construct and analyze graphs of selected functions.
# Use various techniques to determine antiderivatives of simple functions.
# Demonstrate the connection between area and the definite integral.
# Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
# Integrate selected functions and apply the concepts of integration to solve various applications.</div>

=== Textbooks ===
Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===
A brief introduction to multivariable calculus, solving simple differential equations, topics in probability and statistics, sequences, and series.

=== Courses for which this course is prerequisite ===
This course is not a prerequisite for any math course at Brigham Young University.
[[Category:Courses|119]]

Math 119

2010-11-02T21:22:11Z

Jcd47: /* Minimal learning outcomes */

== Catalog Information ==

=== Title ===
Introduction to Calculus.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(4:4:1)

=== Offered ===
F, W, Sp, Su

=== Prerequisite ===
[[Math 110]] or equivalent.

=== Description ===
Introduction to plane analytic geometry and calculus.

=== Note ===
The math department recommends that students who would have taken Math 119 before 2011 now consider Math 112 (for Life Sciences students) or Math 118 (for students in the Marriott School of Management). Beginning Fall 2010 Math 119 will be available as an evening course through the department of continuing education.

== Desired Learning Outcomes ==
This course is designed to provide beginning undergraduate students a first exposure to Calculus concepts, theorems, and techniques. In general, theorems will not be proved. An understanding of the theorems and their applications to solve calculus problems will be taught. Students will be expected to develop effective problem solving skills based on their understanding of the theory and not just memorize a set of routines to solve problems.

=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">
# Determine limits of functions from their graphs or equations.
# Analyze and apply the notions of continuity and differentiability to functions.
# Calculate derivatives for a variety of simple functions and use the concept of derivative to solve problems from various applications.
# Use derivatives to construct and analyze graphs of selected functions.
# Use various techniques to determine antiderivatives of simple functions.
# Demonstrate the connection between area and the definite integral.
# Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
# Integrate selected functions and apply the concepts of integration to solve various applications.</div>

=== Textbooks ===
Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===
A brief introduction to multivariable calculus, solving simple differential equations, topics in probability and statistics, sequences, and series.

=== Courses for which this course is prerequisite ===
This course is not a prerequisite for any math course at Brigham Young University.
[[Category:Courses|119]]

Math 119

2010-11-02T21:18:15Z

Jcd47: /* Courses for which this course is prerequisite */

== Catalog Information ==

=== Title ===
Introduction to Calculus.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(4:4:1)

=== Offered ===
F, W, Sp, Su

=== Prerequisite ===
[[Math 110]] or equivalent.

=== Description ===
Introduction to plane analytic geometry and calculus.

=== Note ===
The math department recommends that students who would have taken Math 119 before 2011 now consider Math 112 (for Life Sciences students) or Math 118 (for students in the Marriott School of Management). Beginning Fall 2010 Math 119 will be available as an evening course through the department of continuing education.

== Desired Learning Outcomes ==
This course is designed to provide beginning undergraduate students a first exposure to Calculus concepts, theorems, and techniques. In general, theorems will not be proved. An understanding of the theorems and their applications to solve calculus problems will be taught. Students will be expected to develop effective problem solving skills based on their understanding of the theory and not just memorize a set of routines to solve problems.

=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">
# Determine limits of functions from their graphs or equations.
# Analyze and apply the notions of continuity and differentiability to functions.
# Calculate derivatives for a variety of simple functions and use the concept of derivative to solve problems from various applications.
# Use derivatives to construct and analyze graphs of selected functions.
# Use various techniques to determine antiderivatives of simple functions.
# Demonstrate the connection between area and the definite integral.
# Integrate selected functions and several applications using these results.
# Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
</div>

=== Textbooks ===
Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===
A brief introduction to multivariable calculus, solving simple differential equations, topics in probability and statistics, sequences, and series.

=== Courses for which this course is prerequisite ===
This course is not a prerequisite for any math course at Brigham Young University.
[[Category:Courses|119]]

Math 119

2010-11-02T21:17:06Z

Jcd47: /* Additional topics */

== Catalog Information ==

=== Title ===
Introduction to Calculus.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(4:4:1)

=== Offered ===
F, W, Sp, Su

=== Prerequisite ===
[[Math 110]] or equivalent.

=== Description ===
Introduction to plane analytic geometry and calculus.

=== Note ===
The math department recommends that students who would have taken Math 119 before 2011 now consider Math 112 (for Life Sciences students) or Math 118 (for students in the Marriott School of Management). Beginning Fall 2010 Math 119 will be available as an evening course through the department of continuing education.

== Desired Learning Outcomes ==
This course is designed to provide beginning undergraduate students a first exposure to Calculus concepts, theorems, and techniques. In general, theorems will not be proved. An understanding of the theorems and their applications to solve calculus problems will be taught. Students will be expected to develop effective problem solving skills based on their understanding of the theory and not just memorize a set of routines to solve problems.

=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">
# Determine limits of functions from their graphs or equations.
# Analyze and apply the notions of continuity and differentiability to functions.
# Calculate derivatives for a variety of simple functions and use the concept of derivative to solve problems from various applications.
# Use derivatives to construct and analyze graphs of selected functions.
# Use various techniques to determine antiderivatives of simple functions.
# Demonstrate the connection between area and the definite integral.
# Integrate selected functions and several applications using these results.
# Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
</div>

=== Textbooks ===
Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===
A brief introduction to multivariable calculus, solving simple differential equations, topics in probability and statistics, sequences, and series.

=== Courses for which this course is prerequisite ===

[[Category:Courses|119]]

Math 119

2010-11-02T21:16:18Z

Jcd47: /* Minimal learning outcomes */

== Catalog Information ==

=== Title ===
Introduction to Calculus.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(4:4:1)

=== Offered ===
F, W, Sp, Su

=== Prerequisite ===
[[Math 110]] or equivalent.

=== Description ===
Introduction to plane analytic geometry and calculus.

=== Note ===
The math department recommends that students who would have taken Math 119 before 2011 now consider Math 112 (for Life Sciences students) or Math 118 (for students in the Marriott School of Management). Beginning Fall 2010 Math 119 will be available as an evening course through the department of continuing education.

== Desired Learning Outcomes ==
This course is designed to provide beginning undergraduate students a first exposure to Calculus concepts, theorems, and techniques. In general, theorems will not be proved. An understanding of the theorems and their applications to solve calculus problems will be taught. Students will be expected to develop effective problem solving skills based on their understanding of the theory and not just memorize a set of routines to solve problems.

=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">
# Determine limits of functions from their graphs or equations.
# Analyze and apply the notions of continuity and differentiability to functions.
# Calculate derivatives for a variety of simple functions and use the concept of derivative to solve problems from various applications.
# Use derivatives to construct and analyze graphs of selected functions.
# Use various techniques to determine antiderivatives of simple functions.
# Demonstrate the connection between area and the definite integral.
# Integrate selected functions and several applications using these results.
# Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
</div>

=== Textbooks ===
Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===

=== Courses for which this course is prerequisite ===

[[Category:Courses|119]]

Math 119

2010-11-02T21:15:25Z

Jcd47: /* Minimal learning outcomes */

== Catalog Information ==

=== Title ===
Introduction to Calculus.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(4:4:1)

=== Offered ===
F, W, Sp, Su

=== Prerequisite ===
[[Math 110]] or equivalent.

=== Description ===
Introduction to plane analytic geometry and calculus.

=== Note ===
The math department recommends that students who would have taken Math 119 before 2011 now consider Math 112 (for Life Sciences students) or Math 118 (for students in the Marriott School of Management). Beginning Fall 2010 Math 119 will be available as an evening course through the department of continuing education.

== Desired Learning Outcomes ==
This course is designed to provide beginning undergraduate students a first exposure to Calculus concepts, theorems, and techniques. In general, theorems will not be proved. An understanding of the theorems and their applications to solve calculus problems will be taught. Students will be expected to develop effective problem solving skills based on their understanding of the theory and not just memorize a set of routines to solve problems.

=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">
#* Determine limits of functions from their graphs or equations.
# Analyze and apply the notions of continuity and differentiability to functions.
# Calculate derivatives for a variety of simple functions and use the concept of derivative to solve problems from various applications.
# Use derivatives to construct and analyze graphs of selected functions.
# Use various techniques to determine antiderivatives of simple functions.
# Demonstrate the connection between area and the definite integral.
# Integrate selected functions and several applications using these results.
# Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
Apply the concepts of limits, derivatives and integrals to solve problems involving functions various applications and interpret the results

</div>

=== Textbooks ===
Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===

=== Courses for which this course is prerequisite ===

[[Category:Courses|119]]

Math 334: Ordinary Differential Equations

2010-11-02T21:14:23Z

Jcd47: /* Minimal learning outcomes */

== Catalog Information ==

=== Title ===
Ordinary Differential Equations.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(3:3:0)

=== Offered ===
F, W, Sp, Su

=== Prerequisite ===
[[Math 113]], [[Math 313|313]].

=== Description ===
Methods and theory of ordinary differential equations.

== Desired Learning Outcomes ==
This course is aimed at students majoring in mathematical and physical sciences and mathematical education. The main purpose of the course is to introduce students to the theory and methods of ordinary differential equations. The course content contributes to all the expected learning outcomes of the Mathematics BS (see [http://learningoutcomes.byu.edu]).

=== Prerequisites ===
Students are expected to have completed [[Math 113]], and [[Math 313]] or be concurrently enrolled in [[Math 313]].

=== Minimal learning outcomes ===
Students should achieve mastery of the topics below. This means that they should know all relevant definitions, full statements of the major theorems, and examples of the various concepts. Further, students should be able to solve non-trivial problems related to these concepts, and prove simple theorems in analogy to proofs given by the instructor.

<div style="-moz-column-count:2; column-count:2;">
# First order equations
#* Linear, separable, and exact equations
#* Existence and uniqueness of solutions
#* Linear versus nonlinear equations
#* Autonomous equations
#* Models and Applications
# Higher order equations
#* Theory of linear equations
#* Linear independence and the Wronskian
#* Homogeneous linear equations with constant coefficients
#* Nonhomogeneous linear equations, method of undetermined coefficients and variation of parameters
#* Mechanical and electrical vibrations
#* Power series solutions
#* The Laplace transform – definitions and applications
# Systems of equations
#* General theory
#* Eigenvalue-eigenvector method for systems with constant coefficients
#* Homogeneous linear systems with constant coefficients
#* Fundamental matrices
#* Nonhomogeneous linear systems, method of undetermined coefficients and variation of parameters
#* Stability, instability, asymptotic stability, and phase plane analysis
#* Models and applications

</div>

=== Textbooks ===
Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===
These are at the instructor's discretion as time allows; applications to physical problems are particularly helpful.

=== Courses for which this course is prerequisite ===
This course is required for [[Math 447]], [[Math 480]], [[Math 521]], [[Math 534]], [[Math 547]], and [[Math 634]].

[[Category:Courses|334]]

Math 119

2010-11-02T21:13:11Z

Jcd47: /* Minimal learning outcomes */

== Catalog Information ==

=== Title ===
Introduction to Calculus.

=== (Credit Hours:Lecture Hours:Lab Hours) ===
(4:4:1)

=== Offered ===
F, W, Sp, Su

=== Prerequisite ===
[[Math 110]] or equivalent.

=== Description ===
Introduction to plane analytic geometry and calculus.

=== Note ===
The math department recommends that students who would have taken Math 119 before 2011 now consider Math 112 (for Life Sciences students) or Math 118 (for students in the Marriott School of Management). Beginning Fall 2010 Math 119 will be available as an evening course through the department of continuing education.

== Desired Learning Outcomes ==
This course is designed to provide beginning undergraduate students a first exposure to Calculus concepts, theorems, and techniques. In general, theorems will not be proved. An understanding of the theorems and their applications to solve calculus problems will be taught. Students will be expected to develop effective problem solving skills based on their understanding of the theory and not just memorize a set of routines to solve problems.

=== Prerequisites ===

=== Minimal learning outcomes ===

<div style="-moz-column-count:2; column-count:2;">
1. Determine limits of functions from their graphs or equations.
2. Analyze and apply the notions of continuity and differentiability to functions.
3. Calculate derivatives for a variety of simple functions and use the concept of derivative to solve problems from various applications.
4. Use derivatives to construct and analyze graphs of selected functions.
5. Use various techniques to determine antiderivatives of simple functions.
6. Demonstrate the connection between area and the definite integral.
7. Integrate selected functions and several applications using these results.
8. Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
Apply the concepts of limits, derivatives and integrals to solve problems involving functions various applications and interpret the results

</div>

=== Textbooks ===
Possible textbooks for this course include (but are not limited to):

*

=== Additional topics ===

=== Courses for which this course is prerequisite ===

[[Category:Courses|119]]

Math 119

2010-11-02T21:12:17Z

Jcd47: /* Desired Learning Outcomes */

Math 119

2010-11-02T21:11:51Z

Jcd47: /* Desired Learning Outcomes */

Math 119

2010-11-02T21:01:41Z

Jcd47: /* Note */

Math 119

2010-11-02T21:00:47Z

Jcd47: /* Note */

Math 119

2010-11-02T21:00:03Z

Jcd47: /* Note */