Math 112 Calculus Learning Goals - Revision history

AAEmpty: /* Appendix E */

2009-11-16T04:21:39Z

‎Appendix E

2009-10-21T17:02:21Z

‎Section 3.3

2009-08-31T22:07:27Z

‎Section 1.1

2009-08-30T21:18:29Z

‎Section 1.1

2009-08-25T18:17:55Z

‎Section 2.2

2009-08-25T18:17:41Z

2009-08-24T15:51:47Z

‎Section 5.5b Needs to be updated.: Updated.

2009-08-24T15:44:02Z

‎Section 5.5a

2009-08-24T15:43:48Z

‎Section 5.5a Needs to be updated.: Updated.

2009-08-24T15:35:48Z

‎Section 5.3b Need to match written HW to goals: Update goals with written homework

@@ Line 668: / Line 668: @@
    Numerically evaluate sums. 23  <br>
    Apply appropriate rules to distribute constants or expand sums of sums. o3, o4, o6.
-<li> Explicitly evaluate $\sigma_{i=1}^n f(i)$ in terms of 'n', where 'f(x)'
+<li> Explicitly evaluate a sum (in sigma notation) in terms of 'n', where the summand
        is a polynomial in x of degree at most 3.  Degree 0: o5; degree 1: o1, o2;
        degree 2: o3, o4; degree 3: o5 <br>

@@ Line 379: / Line 379: @@
 <li> Know limits [2] and [3] in the book.  Be able to use these to solve other limits involving trig functions.  42, 45, o5, o6, o7
 <li> Know the "periodicity" of differentiation of trig functions--i.e. the fourth derivative of the sine function is again the sine function.  o3
-<li> Use the definition of the derivative plus the limits [2] and [3] to prove that the derivative of sin(x) is cos(x), and to prove that the derivative of cos(x) is sin(x).  20
+<li> Use the definition of the derivative plus the limits [2] and [3] to prove that the derivative of sin(x) is cos(x), and to prove that the derivative of cos(x) is -sin(x).  20
 </ol>
 ----

@@ Line 5: / Line 5: @@
 Homework: <br>
-Written: 25, 31, 40, 43, 44, 55, 56, 64, 65<br>
+Written: 25, 31, 40, 43, 55, 56, 64, 65<br>
 Online: o1 - o10

@@ Line 5: / Line 5: @@
 Homework: <br>
-Written: 25, 31, 40, 43, 44, 56, 64, 65<br>
+Written: 25, 31, 40, 43, 44, 55, 56, 64, 65<br>
 Online: o1 - o10

@@ Line 145: / Line 145: @@
 ----
-== Section 2.2 ==
+=== Section 2.2 ===
 Homework:<br>
@@ Line 324: / Line 324: @@
 ----
 == Chapter 3 ==

@@ Line 775: / Line 775: @@
 ----
-== Section 5.5b Needs to be updated. ==
+== Section 5.5b ==
 ----

← Older revision		Revision as of 15:44, 24 August 2009
Line 769:		Line 769:
	<li> Become proficient in choosing a productive substitution. (all problems) <br>		<li> Become proficient in choosing a productive substitution. (all problems) <br>
	<li> Use substitution to simplify a problem by substituting for more than one function or variable. o5, o7		<li> Use substitution to simplify a problem by substituting for more than one function or variable. o5, o7
		+	</ul>
		+	</ol>

@@ Line 757: / Line 757: @@
 ----
-== Section 5.5a Needs to be updated. ==
+== Section 5.5a ==
 ----

@@ Line 724: / Line 724: @@
 ----
-== Section 5.3b Need to match written HW to goals ==
+== Section 5.3b ==
 Homework:<br>
 Written: 22, 31, 36, 41, 43, 59, 65, 66, 74<br>
@@ Line 731: / Line 731: @@
 '''Goals'''
 <ol>
-<li> Given a function and limits of integration verify that the hypotheses of the Fundamental Theorem hold.
+<li> Given a function and limits of integration verify that the hypotheses of the Fundamental Theorem hold. 43
-<li> Use the Fundamental Theorem to evaluate the definite integral of a function.  o1 - o10
+<li> Use the Fundamental Theorem to evaluate the definite integral of a function.  22, 31, 41, o1 - o10.  <br>
-<li> Apply the Fundamental Theorem to interpret the meaning of a definite integral and its derivative in physical, economic, and other applications.
+Given the definite integral of a function, use the Fundamental Theorem to determine information about the function, or limits of integration.  59, 74
 </ol>