Math 131/03 - Calculus I – Daily Plan (Fall, 2017)

This is a tentative daily plan for the course and will be updated weekly.

 

Hour Exams – All are on Friday

September 15, October 6, October 27, and November 18
Gateway Exam Pass List: http://macs.citadel.edu/bbaker/Gateway_Comp_F17_131.htm 
 

Date

Topic/Section

Assignment

Aug 23 

The Tangent and Velocity Problems/(2.1)

Notes

Homework 1 –

Online: due Aug 28

Page 82: 1, 2, 3, 6

 

Turn in: - due Aug 25

Page 82: 8

Solutions

Aug 24

Review:

Difference Quotient

Factoring

End behavior of a polynomial

 

Aug 25

The Tangent and Velocity Problems/(2.1)

 

The Limit of a Function/(2.2)

 

Notes

Homework 2 –

Online: due Sept 2

Page 92: 4, 5, 7, 9, 11, 13, 15,

19, 22, 33, 35

 

Turn in –

due Aug 29

Page 92: 22, 26

Solutions

Due Aug 31

Page 92: 12, 18, 20

Solutions

 

 

 

Aug 28

The Limit of a Function/(2.2)

 

Notes

 

Aug 29

Last Day

To Drop

A Class

The Limit of a Function/(2.2)

 

Notes

 

Calculating Limits Using the Limit Laws/(2.3)

 

Notes

Homework 3

Online: due Sept 4

Page 102: 1, 2, 5, 6, 9, 10, 11,

17, 18, 19, 20, 21, 23, 26, 27,

31, 42, 49, 50

 

Turn in –

Due Sept 1

Page 102: 12, 18

Solutions

Due Sept 4

Page 102: 22, 26, 30, 32, 50

Solutions

Aug 30

Quiz 1 on Section 2.1 – bring your calculator

Solutions

 

Calculating Limits Using the Limit Laws/(2.3)

 

 

 

Aug 31

Review

Factoring, absolute value function

Problems in 2.2 and 2.3

 

 

Sept 1

 

 

Continuity/(2.5) 

Notes

 

Homework 4

Online: due Sept 14

Page 124:

2, 3, 5, 7, 11, 13, 23, 33,

36, 41, 43, 53

 

Turn in –

Due Sept 6

Page 124: 6, 20, 22, 24

Solutions

 

Due Sept 14

Page 124: 42, 54

Solutions

 

 

 

 Sept 4

Quiz 2 on Section 2.2

Solutions

 

Continuity/(2.5) 

Notes

 

 

 

Sept 5

Limits at Infinity: Horizontal Asymptotes/(2.6) 

 

Notes

 

Homework 5

Online: due Sept 14

Page 137:

3, 7, 13, 19, 22, 25, 27, 31,

32, 35, 37, 39, 41, 49

 

Turn in –

Due Sept 14

Page 137: 20, 24

Solutions

 

Due Sept 15 

Page 137: 36, 40, 42, 48

Solutions

Sept 6

Quiz 3 on Section 2.3

Solutions

 

Limits at Infinity: Horizontal Asymptotes/(2.6) 

 

 

Sept 7

Review for Quiz 3 and Homework on

Section 2.5.

 

Sept 8-

13

Hurricane Irma evacuation

 

 

 

 

Sept 14

 

Derivatives and Rates of Change/(2.7)

Notes

 

Homework 6

Online: due Sept 21

Page 148:

1, 3, 6, 7, 9, 13, 18, 27, 31,

35, 41, 44

 

Turn in –

Due Sept 18

Page 148: 4(a)(ii), 10, 14

Solutions

 

Due Sept 20 

Page 148: 20, 22, 34, 38

Solutions

Sept 15

Quiz 4 on Section 2.5

Solutions

 

Derivatives and Rates of Change/(2.7)

 

 

 

 

 

Sept 18

Derivative as a Function/(2.8)

 

Notes

 

Homework 7

Online: due Sept 25

Page 160:

3, 4, 5, 8, 9, 11, 26, 27,

29, 31, 41, 49, 51, 53

 

Turn in –

Due Sept 20

Page 160:

14, 24, 26

Solutions

 

Due Sept 22 

Page 160: 

32, 34, 38

Sept 19

Quiz 5 on Section 2.6

Solutions

 

Derivative as a Function/(2.8)

 

Sept 20

Quiz 6 on Section 2.7

Solutions

 

Derivatives of Polynomials and Exponential

Functions

Notes

 

Homework 8

Online: due Sept 29

Page 180:

1, 4, 9, 11, 13, 16, 19,

23, 33, 37, 46, 49

 

Turn in –

Due Sept 26

Page 180:

10,  22, 36

 

Due Sept 28 

Page 180: 

46, 48, 50

Sept 21

Review for Hour Exam 1 - Sections 2.1-2.8

 

Sept 22

Hour Exam 1 – Sections 2.1-2.8

 

 

 

 

Sept 25

Derivatives of Polynomials and Exponential

Functions

 

Sept 26

Product Rule and Quotient Rule/(3.2)

Notes

Homework 9

Online: due Oct 4

Page 188:

6, 9, 11, 14, 33, 39, 46,

49, 50, 52, 54

 

Turn in –

Due Sept 29

Page 188:

2, 10, 14

 

Due Oct 2 

Page 188: 

28, 30 – simplify f `(x) & f ``(x)

44(d), 48, 52(c)

Sept 27

Product Rule and Quotient Rule/(3.2)

 

Derivatives of Trigonometric Functions/(3.3)

Notes

 

 

Sept 28

Quiz on Section 3.1

Solutions

 

 

Sept 29

Derivatives of Trigonometric Functions/(3.3)

 

Homework 10

Online: due Oct 8

Page 196:

1, 5, 9, 15, 22, 28, 29, 31,

32, 33, 35, 41, 42, 51

 

Turn in –

Due Oct 3

Page 196:

8, 16, 18, 22

 

Due Oct 5 

Page 196: 

40, 44, 52

Solutions

 

 

 

 

Oct 2

Derivatives of Trigonometric Functions/(3.3)

 

 

Oct 3

Chain Rule /(3.4)

Notes

Homework 11

Online: due Oct 10

Page 204:

1, 7, 11, 14, 17, 21, 23,

31, 35, 37, 41, 53, 59,

61, 63

 

Turn in –

Due Oct 6

Page 204:

10, 12, 22, 36

 

Due Oct 9

Page 204: 

38, 48, 54, 62

Oct 4

Quiz on Section 3.2

Solutions

 

 

Chain Rule /(3.4)

 

Gateway Exam for Differentiation Techniques

 

 

Oct 5

Practice Gateway Exam in TH 220

 

Oct 6

Quiz on Section 3.3

Solutions

 

 

Implicit Differentiation/(3.5)

 

Homework 12

Online: due Oct 13

Page 215:

1, 5, 9, 10, 11, 12, 15, 18, 21,

23, 25, 32, 35, 49, 51

 

Turn in –

Due Oct 10

Page 215:

8, 10, 12

Solutions

 

 

Due Oct  12

Page 215: 

26, 36, 40, 50, 56

Solutions

 

 

 

Oct 9

Implicit Differentiation/(3.5)

 

Oct 10

Derivatives of Logarithmic Functions and

Implicit Differentiation/(3.5)

 

 

Oct 11

Implicit Differentiation/(3.5)

 

 

Oct 12

 

Quiz on Section 3.4

Solutions

 

 

Review for Hour Exam 2: Sections 3.1-3.5

 

Oct 13

Hour Exam 2: Sections 3.1-3.5

 

 

 

 

Oct 16

Derivatives of Logarithmic Functions and

Logarithmic Differentiation /(3.6)

 

 

Homework 13

Online: due Oct 23

Page 223:

2, 3, 6, 12, 13, 19, 23, 27,

29, 33, 39, 41, 43, 44,

45, 47

 

Turn in –

Due Oct 19

Page 223:

4, 12, 18, 24

 

Due Oct  20

Page 223: 

28, 34, 44, 48, 50

Oct 17

Derivatives of Logarithmic Functions and

Logarithmic Differentiation /(3.6)

 

Exponential Growth and Decay (3.8)

 

Oct 18

Leadership Day

 

Oct 19

Exponential Growth and Decay (3.8)

Homework 14

Online: due Oct 26

Page 242:

1, 2, 3, 5, 9, 10, 15, 17,

18, 21, 22

 

Turn in –

Due Oct 24

Page 242:

2, 10, 18, 22

Solutions

Oct 20

 

Gateway Exam Starts

 

Exponential Growth and Decay (3.8)

 

 

 

 

 

 

Oct 23

Exponential Growth and Decay (3.8)

 

Oct 24

Quiz on Sect 3.6

Solutions

 

 

Related Rates/(3.9)

Notes    Problems

Homework 15

Online: due Oct 31

Page 249:

2, 3, 4, 5, 9, 13, 14, 15, 16, 17,

20

 

Turn in –

Due Oct 27

Page 249:

2, 4, 14

 

Due Oct 31

Page 249 :

10, 16, 20

 

Oct 25

Related Rates/(3.9)

 

 

Oct 26

Review 3.8 and 3.9


Quiz on Section 3.6 (Logarithmic Differentiation)

and Section 3.8 (Exponential Growth and Decay

and Newton’s Law of Cooling)

Solutions

 

 

Oct 27

Linear Approximations and Differentials/(3.10)  

Notes

Homework 16

Online: due Nov 3

Page 256:

2, 5, 13, 15, 19, 23, 25, 33, 34

 

Turn in –

Due Nov 1

Page 256:

2, 14, 16,

 

Due Nov 3

Page 256 :

20, 24, 26, 34

Solutions

 

 

 

Oct 30

Linear Approximations and Differentials/(3.10)  

Notes

 

Oct 31

Linear Approximations and Differentials/(3.10)  

 

Maximum and Minimum Values/(4.1)

Notes

 

Homework 17

Online: due Nov 8

Page 283:

5, 10, 11, 13, 22, 23, 25, 27,

31, 35, 37, 41, 43, 53, 57,

71

 

Turn in –

Due Nov 6

Page 283:

12, 14, 28, 36

 

Due Nov 7

Page 283 :

44, 60, 62

Solutions

Nov 1

Maximum and Minimum Values/(4.1)

 

Nov 2

Quiz on Section 3.9

Solutions

 

Review for 3.10 and 4.1

 

 

Nov 3

The Mean Value Theorem /(4.2)

 

Notes

 

 

 

 

 

Nov 6

Review Hour Exam 4:  Sections 3.6, 3.8-3.10, 4.1

 

Nov 7

Hour Exam 4:  Sections 3.6, 3.8-3.10, 4.1

 

Nov 8

The Mean Value Theorem /(4.2)

 

Notes

 

Homework 18

Online: due Nov 15

Page 291:

5, 7, 9, 11, 13, 19

 

Turn in –

Due Nov 10

Page 291:

8, 12, 20

Nov 9

How derivatives Affect the Shape of a Graph/(4.3)

 

Notes

 

Table for Properties of f, f’ and f’’’

Homework 19

Online: due Nov 16

Page 300:

3, 5, 9, 11, 14, 15, 16, 17, 19,

24, 27, 28, 34, 35, 36, 41, 42

 

Turn in –

Due Nov 14

Page 300:

6, 8, 12, 14, 16

Solutions

 

Due Nov 16

Page 300 :

24, 28, 36, 42

Nov 10

How derivatives Affect the Shape of a Graph/(4.3)

 

 

 

 

 

Nov 13

Optimizations /(4.7)

Notes

 

Nov 14

 

8:00am:  Optimizations /(4.7)

 

 

Quiz on Section 4.2 and 4.3 (Part I)

12:00pm:  Antiderivatives/(4.9)

 

Homework 20

Online: due Nov 28

Page 336:

2, 3, 5, 7, 8, 9, 13, 14,

18, 21, 23, 25, 34

 

Turn in –

Due Nov 28

Page 336:

2, 8, 14, 18, 34

Solutions

Nov 15

Antiderivatives/(4.9)

 

Nov 16

Quiz on Section 4.3

Solutions

 

Review Sections: 4.2, 4.3, 4.7, 4.9

Homework 21

Online: due Nov 29

Page 355:

4, 7, 12, 15, 16, 18, 21, 23,

33, 43, 48, 59, 64

 

Turn in –

Due Nov 29

Page 355:

12, 14, 18, 34, 38, 48

Solutions

Nov 17

Area and Distances (5.1)

 

Notes

 

Homework 22 – Section 5.1

Online: due Dec 4

Page 375:

2, 5, 7, 8, 15, 17, 21, 22,

25, 26

 

Turn in - Due Dec 1 - Morning

Page 375:

4, 8, 18 (R_6), 22,

24, 26

 

 

 

Nov 27

Area and Distances (5.1)

 

Definite Integrals/(5.2) 

Notes

Homework 23 – Section 5.2

Online: due Dec 4

Page 388:

2, 7, 9, 10, 20, 23, 26,

29, 33, 34, 37, 53

 

Turn in - Due Dec 1 - Afternoon

Page 388:

10, 20, 22, 34, 38

Nov 28

 

Definite Integrals/(5.2) 

 

Fundamental Theorem of Calculus/(5.3)

 

Notes 

Homework 24 – Section 5.3

Online: due Dec 6

Page 399:

3, 5, 7, 11, 13, 21, 25, 27, 29,

37, 39, 47, 53

 

Turn in - Due Dec 4

Page 399:

12, 14, 18, 30, 40

Nov 29

 

Fundamental Theorem of Calculus/(5.3)

 

Indefinite Integral and the Net Change Theorem/(5.4)

 

Notes

 

Nov 30

 

Quiz on Section 4.7 and 4.9

Solutions

 

Review for Sections:

 

Homework 25 – Section 5.4

Online: due Dec 7

Page 408:

2, 8, 9, 11, 12, 18, 23, 27,

31, 41

 

Turn in - Due Dec 5

Page 408:

14, 18, 36

Dec 1

8:00am –

Integration by Substitution (5.5)

 

 

3:00pm –

Integration by Substitution (5.5)

Homework 26 – Section 5.5

Online: due Dec 11

Page 418:

3, 6, 13, 17, 21, 23, 25, 40,

41, 44, 57, 59, 60, 69

 

Turn in - Due Dec 6

Page 418:

8, 18, 40, 60, 62

 

 

 

Dec 4

Review for Hour Exam 4:

Sections 4.2, 4.3, 4.7, 4.9, 5.1, 5.2, 5.3

 

 

Dec 5

Hour Exam 4: Sections 4.2, 4.3, 4.7, 4.9, 5.1, 5.2, 5.3

 

Solutions

 

Dec 6

Review for Final

 

 

 

 

Dec 11

Final Exam:

8:00am - 11:00am

 

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