Math 131 Calculus I

Summer 2019, The Citadel

 

 

 

Syllabus  Schedule  Exams   Gateway

Day

Date

Topic

Notes

Homework

 

Function notation

 

 

 

Domain and Range

 

 

 

Basic Trig Functions

 

 

 

More Trig Functions

 

 

May 28

2. 1 The Tangent and Velocity Problems Part 1

Lecture Slides

Lecture Notes

 Worksheet #1

Worksheet #2

May 28

2. 1 The Tangent and Velocity Problems Part 2

Lecture Slides

Lecture Notes

Tutorial

May 28

2.2 The Limit of a function Part 1

Lecture Slides

Lecture Notes 

 Limits Practice

May 28

2.2 The Limit of a function Part 2

Lecture Slides

Lecture Notes 

 

May 29

2.3 Limit Laws

Lecture Slides

Lecture Notes 

   Quiz Practice

May 29

2.5 Continuity

Lecture Slides

Lecture Notes 

 Continuity Practice 1

May 30

Quiz 1

 

 

May 30

2.5 Continuity

Lecture Slides

Lecture Notes 

 Continuity Practice 2

May 30

2.6 Limits at Infinity Part 1

Lecture Slides

Lecture Notes 

 Infinity 1

May 30

2.6 Limits at Infinity Part 2

Lecture Slides

Lecture Notes 

 Infinity 2

May 31

2.7 Derivatives and Rates of Change

Lecture Slides

Lecture Notes 

 Derivative tool

May 31

2.8 The Derivative as a function Part 1

Lecture Slides

Lecture Notes 

 Derivative practice 1

June 3

2.8 The Derivative as a function Part 2

Practice 

 Derivative practice 2

June 3

Review

 

MVT

June 4

Test 1: Chapter 2

3.1 Derivatives of Polynomials 

 Lecture Slides

 Polynomials

June 4

3.2 Product Rule

 

 Product Rule 1

June 4

3.2 Quotient Rule

 

 Quotient Rule 1

June 5

Trig review

 Trig Review Notes 

 Trig homework

June 5

3.3 Derivatives of Trig functions

 

 

June 5

3.4 The Chain Rule Part 1

 

 Chain Rule 1

June 6

3.4 The Chain Rule Part 2

 

 Chain Rule 2

 Chain Rule 3

 Quiz Practice

June 6

Quiz 2

 

 

June 6

3.5 Implicit Differentiation Part 1

 

 Implicit Differentiation

June 7

3.5 Implicit Differentiation Part 2

 

 

June 7

3.6 Derivatives of Logs Part 1

 

 Derivatives of logs

June 10

3.6 Derivatives of Logs Part 2

 

 

June 10

Test 2: Chapter 3a

 

 

June 10

3.8 Exponential Growth and Decay

 Lecture Slides

 

June 11

3.9 Related Rates

 Lecture Slides

 

June 12

3.9 Related Rates

 

 Related Rates

June 12

3.10 Linear Approx and differentials

 

 Linear approx

June 13

Quiz 3

 

 

June 13

3.10 Differentials

 Notes

 Differentials

June 13

4.1 Max and Min values

 Lecture Slides

 Max and Min

June 14

4.2 The mean value Theorem

 Lecture Slides

 MVT worksheet

June 14

4.3 Derivatives and Graphs

 

  Derivative graphs

June 18

4.4 Indeterminate Form

 

 

June 18

4.5 Summary of Curve Sketching

 Guide to curve sketching

Lecture

 Sketch This

June 19

Test 3

 

 

June 19

4.7 Optimization

 Lecture

 Optimization

June 19

4.7 Optimization

 

 

June 20

4.9 Antiderivatives

 Lecture

 Antiderivative 

June 20

4.9 Antiderivatives

 

 

June 20

5.1 Areas and Distances

 

 Reimann 1

June 21

5.1 Areas and Distances

 

 Reimann 2

June 21

5.2 The Definite Integral

 Lecture Slides

 Reimann 3

June 21

5.2 The Definite Integral

 

 

June 24

Quiz 4

 

 

June 24

5.3 Fundamental Theorem of Calculus

 

 FTC1

June 24

5.3 Fundamental Theorem of Calculus

 

 FTC2

June 25

5.4 Indefinite Integrals

 

 

June 25

5.5 Substitution Rule

 

  USub Practice

June 25

Test 4

 

 

June 25

Review

 

 

June 26

Exam