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Math 102: Quantitative Reasoning

2017-02-22T17:00:07Z

Lonettes: /* Offered */

== Catalog Information ==

=== Title ===
Quantitative Reasoning.

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

=== Offered ===
F, W

=== Description ===
Practicing and applying quantitative reasoning: personal finance, consumer statistics, etc.

=== Note ===
For students who do not need developmental algebra for subsequent courses.

=== Prerequisites ===

There are no prerequisites for this course.

=== Minimal learning outcomes ===
1. Solve problems using dimensional analysis.

2. Identify the uses and abuses of percentages in real life applications.

3. Calculate interest, payments, and earnings on mortgages, lines of credit, annuities, and other interest bearing investments and debts.

4. Analyze statistical studies and judge their validity.

5. Calculate probabilities associated with normally distributed data, and identify data that is likely to be normally distributed.

6. Calculate probabilities of simple events and properly combine probabilities of independent events.

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

* Bennett and Brigs: Using and Understanding Mathematics

=== Additional topics ===

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

[[Category:Courses|102]]

Math 751R: Advanced Special Topics in Topology

2016-06-13T21:58:34Z

Lonettes: /* Prerequisite */

== Catalog Information ==

=== Title ===
Advanced Special Topics in Topology.

=== Credit Hours ===
3

=== Prerequisite ===
[[Math 551]]

=== Description ===
This course covers current topics of research interest.

== Desired Learning Outcomes ==
Students should become familiar with a specific area of topology undergoing current research.

=== Prerequisites ===
Graduate level differential and algebraic topology at the level of [[Math 655]] and [[Math 656|656]].

=== Minimal learning outcomes ===
Minimal learning outcomes cannot be specified for a course in which topics will vary from year to year. However, regardless of the topic, successful students will know terminology, statements and approaches to problems undergoing active research, and major results in the area and techniques used to prove them. Students will demonstrate this knowledge by working suitable problems and developing their own proofs, by presenting and writing work inside and outside of class, and participating in other activities expected of more advanced graduate students.

As an example of the level and type of material covered, the following topics were required for the course when it covered hyperbolic knot theory.

<div style="-moz-column-count:2; column-count:2;">
#Link complements as 3-manifolds
#*Polyhedral decomposition associated with a link diagram
#*Alternating versus non-alternating links
#*Subdivision into tetrahedra, cusp triangulations
#Geometric structures on manifolds, particularly hyperbolic structures
#*Developing map, holonomy
#*Complete and incomplete structures
#*Mostow-Prasad rigidity
#*Gluing and completeness equations
#*Ideal hyperbolic tetrahedra, geometric triangulations
#Hyperbolic Dehn surgery
#*Hyperbolic Dehn surgery space and its shape
#*Exceptional Dehn surgeries
#*Links admitting exceptional Dehn surgeries
#Examples of hyperbolic links and their geometric properties
#*Volumes, embedded geodesic surfaces, etc.

</div>
=== Textbooks ===

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

*

=== Additional topics ===

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

None.

[[Category:Courses|751]]

Math 119

2016-06-13T21:57:13Z

Lonettes: /* Offered */

== Catalog Information ==

=== Title ===
Introduction to Calculus.

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

=== Offered ===
As of Fall 2011 this course is only available through Independent Study.

=== 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]]