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; Curve Sketching; Limits at infinity; Horizontal asymptotes

8

Mar 19 - 27

Spring Recess

9

Mar 28 - Apr 1

Reviews; Exam 2; Min-Max problem

10

Apr 4 - 8

Application to Business & Economics; Newton's Method

11

Apr 11 - 15

Antiderivatives; Areas and Distances; The Definite Integral

12

Apr 18 - 22

The Definite Integral; The Fundamental Theorem of Calculus; Indefinite Integrals;

13

Apr 25 - 29

Reviews; Exam 3; The Substitution Rule

14

May 1 - 6

Areas between curves; Volumes via Shell Method, Washer Method

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; Curve Sketching; Limits at infinity; Horizontal asymptotes
8	Mar 19 - 27	Spring Recess
9	Mar 28 - Apr 1	Reviews; Exam 2; Min-Max problem
10	Apr 4 - 8	Application to Business & Economics; Newton's Method
11	Apr 11 - 15	Antiderivatives; Areas and Distances; The Definite Integral
12	Apr 18 - 22	The Definite Integral; The Fundamental Theorem of Calculus; Indefinite Integrals;
13	Apr 25 - 29	Reviews; Exam 3; The Substitution Rule
14	May 1 - 6	Areas between curves; Volumes via Shell Method, Washer Method
15	May 9 - 11	Average value of a function; Reviews
16		Final Exam