<!doctype html public "-//w3c//dtd html 4.0 transitional//en">Honors Calculus I
MAC 2311, Spring 2002

Text: Calculus: Single Variable, 3rd edition, Hughes-Hallett, Gleason, et al., John Wiley & Sons, 2002.
 

Date

 

Topic for the day

Section
(Read before class)

Homework Assignment (to do after class)

T 8 Jan

 

Linear & Exponential functions

1.1
1.2

2, 3, 13, 27, 29, 32, 33, 37, (5-10, 14-25, as needed), Handout
9, 11, 13, 14, 17, 19, 21, 22, 27, 31, 33, 39 (5-8 as needed)

R 10 Jan

 

Transformations
Log functions
Log plots

1.3
1.4

3, 4, 9, 15, 20, 21-24, 26, 29, 34, 35
1, 7, 19, 21, 27, 31, 33, 35 (2-34 as needed), 36, 40, 46, 47, 50
Handout

F 11 Jan

 

Trig Functions, Polynomial & Rational functions, Continuity

1.5
1.6
1.7

13, 14, 17, 23, 27, (1-28 as needed), 31, 34, 38, 39, 42
1, 5, 6, 13, 14, 16, 17, 21, 24, 27 (find formulas), 31, 32, 36
3, 5, 7, 9, 11, 13, 18

 

 

 

Ch 1

Rev:  1, 2, 7, 9, 15, 19, 23, 25, 29, 30, 36, 37, 40
Chal: 43, 46, 47; Projects (Optional)

T 15 Jan

Q

Modeling with difference equations

Handout

 

R 17 Jan

 

More on difference equations
Writing in Mathematics
Start Project 1

Handouts

 

F 18 Jan

 

Speed, limits

2.1
2.2

1, 2, 3, 5, 8, 9, 12, 13-16, 18, 20
1, 2, 5, 7, 14, 17, 18, 25-28, 31, 33, 37, 41, 45

T 22 Jan

Q

Derivative at a point

2.3

3, 5, 7, 9, 12, 15, 17, 20, 31, 23, 25, 26, 27, 28, 29, 33, 34

R 25 Jan

 

Derivative function, interpretations of derivatives

2.4
2.5

3, 7, 9, 10, 13, 15, 20, 21, 27, 30, 34, 35, 37-40
5-10, 12-14, 16, 18-20

F 26 Jan

Q

Second derivative

2.6

3, 4, 6, 10, 13, 14-18, 21-23
Begin reviewing for Test 1

T 29 Jan

 

Continuity & differentiability
Review (CYU questions)

2.7

1, 2, 6-9, 11, 14

 

 

 

Ch 2

Rev:  4, 5, 8, 11, 13, 19, 21, 24, 26, 28, 30, 31, 36, 38, 40
Chal: 45, 46 (Optional)

R 31 Jan

 

TEST 1

 

 

F 1 Feb

 

Power rule

3.1

7, 9, 11, 13, 17, 21, 23, 29-32, 36-41, 45, 46, 47, 51, 54, 55, 57, 59, 60

T 5 Feb

Q

Polynomial & exponential derivatives

3.2

1, 5, 9, 13, 17, 21, 25, 27, 29, 31, 35-38, 40-44

R 7 Feb

P1

Product & Quotient Rules

3.3

5, 9, 13, 17, 21, 25-29, 31, 33, 35-37, 41, 43, 44, 46-48

F 8 Feb

 

Chain Rule

3.4

5, 11, 17, 23, 29, 31, 33, 35, 37, 41, 45-47, 51-54, 57, 58, 60-64, 69, 70; Handout

T 12 Feb

Q

Trigonometric Functions

3.5

3, 7, 11, 15, 17, 23, 25, 29, 31, 35, 38, 41,

R 14 Feb

 

Applications of the Chain Rule

3.6

3, 7, 11, 15, 19, 23, 29, 32, 37, 38, 40-45, 47, 49, 50, 53-55

F 15 Feb

 

More Related Rates

Handout

 

T 19 Feb

Q

Implicit Functions

3.7

5, 9, 11, 12, 19, 21, 23, 24, 28, 30

R 21 Feb

 

Local linearity

Using derivatives

3.9
3.10
4.1

3, 5, 6, 7, 8, 11, 12, 15
1, 3, 5, 9, 11, 13, 15, 17, 19
1, 3, 4, 10, 11, 19, 21 (for 19), 22-24, 28, 30, 31, 34, 35, 39, 41, 45

 

 

 

Ch 3

Rev:  1-51 alt odds, 53, 57, 58, 61, 64, 68-70, 74, 77, 78, 85
Projects (Optional)

F 22 Feb

 

More on Using derivatives
Gateway Test -- Derivatives
Start Project 2

4.1

Complete assignment above
Get started on your project!!!

T 26 Feb

Q

Optimization

4.3

1, 3, 6, 7, 9, 12, 15, 19, 23, 25, 29, 30, 33

R 28 Feb

 

Optimization & modeling

4.4

1, 3, 4, 6-8, 10, 11, 13

F 1 Mar

Q

Optimization & modeling

4.5

2, 4-10, 13, 14, 16-18, 20, 23

 

 

 

Ch 4

1, 5, 6, 9, 12, 16, 21, 23, 29, 34, 36, 40
Begin Reviewing for Test 2

 

 

SPRING BREAK

 

 

T 12 Mar

 

History & Review

Handout

 

R 14 Mar

 

TEST 2

 

 

F 15 Mar

 

Hyperbolic functions
Introduction to DEs & equations of motion,

4.6
Handout

1, 3, 5, 7, 11, 17, 21

T 19 Mar

Q

Distance traveled
Definite integral

5.1
5.2

3, 4, 7, 9, 12, 13
1, 3, 5, 7, 11, 14, 15, 21, 23, 26, 29, 31, 33, 35, 37

R 21 Mar

P2

Interpretations

5.3

3, 5, 12, 19, 22, 25, 26, 28, 31

F 22 Mar

 

Theorems about definite integrals

5.4

1-3, 5, 7, 9, 11, 14, 15, 17-21, 23

 

 

 

Ch 5

Rev 1, 7, 11, 14, 18, 19, 20, 24, 27, 28, 31, 33, 35, 37

T 26 Mar

Q

Antiderivatives graphically & numerically

6.1

1, 3, 5, 8, 9, 13, 15, 17, 19, 23, 25

R 28 Mar

 

Constructing antiderivatives

6.2

9, 11, 13, 21, 31, 39, 41, 45, 49, 51, 52, 53, 55, 57, 59, 63, 67, 69, 73, 75, 79, 31, 84

F 29 Mar

 

Fundamental Theorem of Calculus

6.4

2, 5, 7, 11, 13, 15, 17, 19, 20-23, 25

T 2 Apr

Q

DEs revisited
Start Project 3

6.3
11.1

1, 3, 5, 7, 9, 11, 14, 17, 21, 23
2, 3, 5, 6, 9, 13, 15

 

 

 

Ch 6

Rev 1-35 alt odds, 41, 43, 45, 47, 49, 52, 53, 54, 59, 61, 62

R 4 Apr

 

Slopefields

11.2

3, 5, 7-10

F 5 Apr

 

Gateway Test -- integrals

 

Work on projects

T 9 Apr

Q

Euler's Method
Separation of Variables

11.3
11.4

2, 6, 9, 10
5, 7, 12, 13, 15, 17, 29, 35, 37, 39, 42, 43

R 11 Apr

 

Modeling with DEs

11.5

1-4, 6, 7, 10, 11, 17-20, 22

F 12 Apr

Q

Modeling with DEs
Review

11.5

14-16, Handout

 

 

 

Ch 11

Rev 3, 4, 8, 11, 19, 30, 31, 35-37

M 15 Apr

 

Poster Session

 

 

T 16 Apr

 

TEST 3

 

 

R 18 Apr

 

Modeling with DEs

11.6

3, 4, 5, 7, 13, 17, 18, 23

F 19 Apr

P3

Presentations

 

 

T 23 Apr

 

Presentations
Wrap up -- discrete and continuous models

 

 

R 25 Apr

 

Reading Day

 

Presentations

Sunday
28 April

 

FINAL EXAM 
6:45 - 9:15 pm
(tentative)