CALCULUS I

MATH 151 C (Spring 2005)

Schedule

This is a tentative syllabus, as we will most likely be pacing ourselves according to how each topic is understood by the class.

Week
Date
Topic Homework

1

Jan 31 - Feb 4

Preview to Calculus; Tangents & Velocity Problems ; The limit of a function

1. Section 2.1 : 3,5,6,7
2.Section 2.2 : 1,2,4,6,8,11,24,26,31,32

2

Feb 7 - 11

Limit Laws; Definition of Limit, Continuity; Rates of Change; Derivatives;

1. Section 2.3: 1,3,5,7,10,15,17,20,21,22,36,48,49,56
2. Section 2.5: 3,9,11,13,15,17,19,21,23,31,35,37,37,41,43
3. Section 2.6: 3,7,9,11,17,19,27,28

3

Feb 14 - 18

Differentiation Formulas; Application of Rates of Change;

1. Section 3.1: 3,4,7,8,9,13,15,17,19,25,27,28
2. Section 3.2: 1,2,3,4,5,7,11,13,19,21,23,25,27,35
3. Section 3.3: 1,3,5,9,12,14,19,23,25,37,29,31,33,35,37,39,41,51,53,57,59,64,71,73,83

4

Feb 21 - 25

Reviews; Exam 1; Derivatives of Trig functions;

Section 3.6: 8,10,11,12,13,15,19,20,22,25,26,28,33,37,39,41,43,45,54,55,56,60,64

5

Feb 28 - Mar 4

The Chain Rule; Implicit differentiation; Higher Derivatives;

Section 3.7: 3,4,8,12,16,18,24,25,26,36,38,41,42
Section 3.8: 1,3,5-19,23,25,29,31,33,37,43,45,47

6

Mar 7 - 11

Related Rates; Linear approximation; Minimum and Maximum values;

Section 3.9: 1,4,5,6,7,8,10,11,14,15,17,19,20,36
Section 3.10: 5,7,10,12,14,17,18,23,25,27,28,32,33,35

7

Mar 14 - Mar 18

The Mean Value Theorem;

Section 4.1: 5,7,8,11,13,15,23,26,29,33,35,36,37,40,41,42,43,45,47,49,51,53,55
Section 4.2: 1,3,4,6,11,12,14,16,17,18,19,23,25,27

8

Mar 19 - 27

Spring Recess

9

Mar 28 - Apr 1

Reviews; Exam 2; Min-Max problem; Curve Sketching;

Section 4.3: 4,5,7,9,11,13,15,16,17,18,19,22,23,29,31,33,37

10

Apr 4 - 8

Limits at infinity; Horizontal asymptotes; Optimization;
Section 4.4: 3,4,9-31odds,43,45,47,51
Section 4.5: 1-39 odds
Section 4.7: 2,4,5,7,8,9,11,13,14,15,17,20,28,31

11

Apr 11 - 15

Newton's Method; Antiderivatives; Areas & Distances;

Section 4.9: 4,5,7,11,13,15,17,27,28,29
Section 4.10: 1,2,3,7,8,13,14,17,18,28,29,31,33,3538,39,40

12

Apr 18 - 22

The Definite Integral; The Fundamental Theorem of Calculus;

Section 5.1: 2,3,4,5,7,8,17,18,19,22
Section 5.2: 1,2,3,4,17,19,21,23,25,26,35,37
Section 5.3: 2,3,5,7,9,12,13,15,17,19,21,23,24,25,29,31,43

13

Apr 25 - 29

Reviews; Exam 3; The Substitution Rule

Section 5.4: All Evens

14

May 1 - 6

Substitution Rule; Areas between curves; Volumes

Section 5.5: Do Evens 2-66 for Extra Credit(Due: May 11th)
Section 6.1: 1,3,4,5,7,8,9,12,15,17,21,25,26,29,49
Section 6.2: 1,2,5,7,8,9,10,13,15,17,31,33,35,41,43

15

May 9 - 11

Average value of a function; Reviews

16

Final Exam

Week	Date	Topic	Homework
1	Jan 31 - Feb 4	Preview to Calculus; Tangents & Velocity Problems ; The limit of a function	1. Section 2.1 : 3,5,6,7 2.Section 2.2 : 1,2,4,6,8,11,24,26,31,32
2	Feb 7 - 11	Limit Laws; Definition of Limit, Continuity; Rates of Change; Derivatives;	1. Section 2.3: 1,3,5,7,10,15,17,20,21,22,36,48,49,56 2. Section 2.5: 3,9,11,13,15,17,19,21,23,31,35,37,37,41,43 3. Section 2.6: 3,7,9,11,17,19,27,28
3	Feb 14 - 18	Differentiation Formulas; Application of Rates of Change;	1. Section 3.1: 3,4,7,8,9,13,15,17,19,25,27,28 2. Section 3.2: 1,2,3,4,5,7,11,13,19,21,23,25,27,35 3. Section 3.3: 1,3,5,9,12,14,19,23,25,37,29,31,33,35,37,39,41,51,53,57,59,64,71,73,83
4	Feb 21 - 25	Reviews; Exam 1; Derivatives of Trig functions;	Section 3.6: 8,10,11,12,13,15,19,20,22,25,26,28,33,37,39,41,43,45,54,55,56,60,64
5	Feb 28 - Mar 4	The Chain Rule; Implicit differentiation; Higher Derivatives;	Section 3.7: 3,4,8,12,16,18,24,25,26,36,38,41,42 Section 3.8: 1,3,5-19,23,25,29,31,33,37,43,45,47
6	Mar 7 - 11	Related Rates; Linear approximation; Minimum and Maximum values;	Section 3.9: 1,4,5,6,7,8,10,11,14,15,17,19,20,36 Section 3.10: 5,7,10,12,14,17,18,23,25,27,28,32,33,35
7	Mar 14 - Mar 18	The Mean Value Theorem;	Section 4.1: 5,7,8,11,13,15,23,26,29,33,35,36,37,40,41,42,43,45,47,49,51,53,55 Section 4.2: 1,3,4,6,11,12,14,16,17,18,19,23,25,27
8	Mar 19 - 27	Spring Recess
9	Mar 28 - Apr 1	Reviews; Exam 2; Min-Max problem; Curve Sketching;	Section 4.3: 4,5,7,9,11,13,15,16,17,18,19,22,23,29,31,33,37
10	Apr 4 - 8	Limits at infinity; Horizontal asymptotes; Optimization;	Section 4.4: 3,4,9-31odds,43,45,47,51 Section 4.5: 1-39 odds Section 4.7: 2,4,5,7,8,9,11,13,14,15,17,20,28,31
11	Apr 11 - 15	Newton's Method; Antiderivatives; Areas & Distances;	Section 4.9: 4,5,7,11,13,15,17,27,28,29 Section 4.10: 1,2,3,7,8,13,14,17,18,28,29,31,33,3538,39,40
12	Apr 18 - 22	The Definite Integral; The Fundamental Theorem of Calculus;	Section 5.1: 2,3,4,5,7,8,17,18,19,22 Section 5.2: 1,2,3,4,17,19,21,23,25,26,35,37 Section 5.3: 2,3,5,7,9,12,13,15,17,19,21,23,24,25,29,31,43
13	Apr 25 - 29	Reviews; Exam 3; The Substitution Rule	Section 5.4: All Evens
14	May 1 - 6	Substitution Rule; Areas between curves; Volumes	Section 5.5: Do Evens 2-66 for Extra Credit(Due: May 11th) Section 6.1: 1,3,4,5,7,8,9,12,15,17,21,25,26,29,49 Section 6.2: 1,2,5,7,8,9,10,13,15,17,31,33,35,41,43
15	May 9 - 11	Average value of a function; Reviews
16		Final Exam