Math 131 Calculus I

Fall 2018, The Citadel

 

 

 

Syllabus  Schedule  Exams   Gateway

Day

Date

Topic

Notes

Additional Practice

 

 

Function notation

 Get Started with Hawkes

 

 

 

Domain and Range

 

 

 

 

Basic Trig Functions

 

 

 

 

More Trig Functions

 

 

Wednesday

Aug 22

2. 1 The Tangent and Velocity Problems Part 1

Lecture Slides

Lecture Notes

 

Thursday

Aug 23

Review Day

 

Worksheet #1

Worksheet #2

Friday

Aug 24

2. 1 The Tangent and Velocity Problems Part 2

Lecture Slides

Lecture Notes

Tutorial

Monday

Aug 27

2.2 The Limit of a function Part 1

 Lecture Slides

Lecture Notes 

 Limits Practice

Tuesday

Aug 28

2.2 The Limit of a function Part 2

Notes

Wednesday

Aug 29

Quiz

2.3 Limit Laws

Lecture Slides

 

Thursday

Aug 30

Review

 

 More Limits Practice

Friday

Aug 31

2.3 Limit Laws

 

Notes 

 

Monday

Sept 3

2.5 Continuity

Lecture Slides

 

 

Tuesday

Sept 4

2.5 Continuity

 

 Continuity Practice

Wednesday

Sept 5

2.6 Limits at Infinity Part 1

Lecture Slides

 

Thursday

Sept 6

Review Day

 

 

Friday

Sept 7

2.6 Limits at Infinity Part 2

 

Monday

Sept 10

2.7 Derivatives and Rates of Change

Lecture Slides

Lecture Notes 

 Derivative tool

Tuesday

Sept 11

Cancelled

 

 

Wednesday

Sept 12

Cancelled

 

 

Thursday

Sept 13

Cancelled

 

 

Friday

Sept 14

Cancelled

 

 

Monday

Sept 17

Cancelled

 

 

Tuesday

Sept 18

2.8 The Derivative as a function Part 1

Lecture Slides

Lecture Notes 

 Derivative practice

Wednesday

Sept 19

2.8 The Derivative as a function Part 2

Lecture Slides

Lecture Notes 

 

Thursday

Sept 20

Test 1: Chapter 2

 

 

Friday

Sept 21

3.1 Derivatives of Polynomials

 

Monday

Sept 24

3.2 Product Rule

Quotient Rule

 Lecture Slides

 Gateway Information

Tuesday

Sept 25

Trig review

 

 

Wednesday

Sept 26

3.3 Derivatives of Trig functions

 

 

Thursday

Sept 27

Review Day

 

 

Friday

Sept 28

3.4 The Chain Rule Part 1

 

 

Monday

Oct 1

3.4 The Chain Rule Part 2

 

 

Tuesday

Oct 2

3.5 Implicit Differentiation Part 1

 

 

Wednesday

Oct 3

3.5 Implicit Differentiation Part 2

 

 

Thursday

Oct 4

Review Day

 

 

Friday

Oct 5

3.6 Derivatives of Logs Part 1

 

 

Monday

Oct 8

3.8 Exponential Growth and Decay

  Lecture Slides

 

Tuesday

Oct 9

3.9 Related Rates

  Lecture Slides

 Related Rates

Wednesday

Oct 10

3.9  Related Rates

 

 

Thursday

Oct 11

Gateway Practice with Mr. Thornley

 

 

Friday

Oct 12

Test 2: Chapter 3

 

 

Monday

  Oct 15

3.10  Linear Approx and differentials

 Notes

Differentials

  Linear approx

 P. 28: 7, 15, 23, 25, 27, 33, 36

Solutions

Tuesday

Oct 16

4.1 Max and Min values

  Lecture Slides

 Max and Min

Wednesday

Oct 17

No Class

  

Thursday

Oct 18

Review

 

 

Friday

Oct 19

4.2 The mean value Theorem

 Lecture Slides

 MVT worksheet

Monday

Oct 22

4.3  Derivatives and Graphs

 

    Derivative graphs

Tuesday

Oct 23

4.4 Indeterminate Form

 

 Test 3 Prep

Wednesday

Oct 24

Test 3

 

 

Thursday

Oct 25

Gateway day

 

 

Friday

Oct 26

4.5 Summary of Curve Sketching

 Guide to curve sketching

Lecture

 Sketch This

Monday

Oct 29

4.5 Summary of Curve Sketching

 

 

Tuesday

Oct 30

4.7 Optimization

 Lecture

  Optimization

Wednesday

Oct 31

4.7 Optimization

 

Thursday

Nov 1

Review day

 

 

Friday

Nov 2

4.9Antiderivatives

 Lecture

 Antiderivative 

Monday

Nov 5

4.9 Antiderivatives

 

 

Tuesday

Nov 6

No Class

 

 

Wednesday

Nov 7

5.1 Areas and Distances

 Lecture

 Reimann 1

Thursday

Nov 8

Review day

 

 

Friday

Nov 9

5.1 Areas and Distances

 

 Reimann 2

Monday

Nov 12

Area and Distances

 

  

Tuesday

Nov 13

More Reimann Sums

 

 

Wednesday

Nov 14

Intro to definite integral

 

 

Thursday

Nov 15

Review day

 

 

Friday

Nov 16

5.2  The Definite Integral

 Lecture Slides

 Reimann 3

Monday

Nov 19

Break

 

Tuesday

Nov 20

 Break

 

Wednesday

Nov 21

Break

 

Thursday

Nov 22

Review day

 Break

 

Friday

Nov 23

Break

 

Monday

Nov 26

5.2 The Definite Integral

 

 

Tuesday

Nov 27

Test

 

 

Wednesday

Nov 28

5.3  Fundamental Theorem of Calculus

 

 FTC1

Thursday

Nov 29

review

 

 

Friday

Nov 30

5.4 Indefinite Integrals

 

 

Monday

Dec 3

5.5 Substitution

 

 

Tuesday

Dec4

Review

 

 

 

 

Exam