Math 201-103-RE
Differential Calculus

ANNOUNCEMENTS: 

Term Schedule
Academic Calendar
Course Outline

Tests
Test #1 -
Test #2 -
Test #3 -

Test #4 -
Final Exam - Summary of Topics

MyYouTube
0.  29:50
Adding Integers by Hand
- pdf   2:44
Adding Decimals by Hand
- pdf   1:50
Subtracting Integers by Hand
- pdf   3:32
Multiplying Integers by Hand
- pdf   9:31
Dividing Integers by Hand
- pdf   12:13
1. 
1:04:42
Fractions - Introduction
- pdf   6:03
Fractions - Cancelling Common Factors - pdf   7:17
Fractions - Multiplication
- pdf   9:14
Fractions - Addition - pdf   13:38
Fractions - Subtraction  - pdf   3:12
Fractions - Division - pdf   10:24
Fractions & Polynomials: Simplification - 1 - pdf   3:21
Fractions & Polynomials: Simplification - 2 - pdf   3:17
Fractions & Polynomials: Simplification - 3
- pdf   8:16
2. 
1:03:47
Properties of Exponents - 1
- pdf   2:53
Properties of Exponents - 2 - pdf   4:44
Properties of Exponents - 3 - pdf   7:02
Properties of Exponents - 4 - pdf   3:52
Properties of Exponents - 5 - pdf   4:11
Properties of Exponents - 6 - pdf   6:17
Simplifying Exponents - pdf   8:06
Simplifying Square Roots - pdf   6:42
Simplifying Cube Roots - pdf   6:05
Simplifying n-th Roots - pdf   3:38
Sketching the Graph of the Square Root - pdf   4:57
Sketching the Graph of the Cube Root
- pdf   5:20
3. 
1:22:47
Factoring & the Quadratic Formula
- pdf   15:00
Factoring by Inspection
- pdf   6:10
Factoring & Complex Numbers - pdf   6:00
Long Division
- pdf   17:00
The Factor Theorem
- pdf   19:15
The Factor Theorem - Proof - pdf   14:25 
- Optional
The Factor Theorem - Proof - pdf   30:02 - Optional
Factoring Common Terms - 1 - pdf   4:30
Factoring Common Terms - 2 - pdf   8:14
Factoring Common Terms - 3
- pdf   6:38
4. 
35:51
Functions & Substitutions
- pdf   17:36
Newton's Quotient
- pdf   18:15
5-7. 
1:08:04
Limits - Introduction - pdf   14:55
Limits - Properties - pdf   5:25
Limits - Piecewise Functions - pdf   7:45
Limits - Numerical Experimentation - pdf   12:50
Limits - Factoring - pdf   11:44
Limits - Conjugation - pdf   15:25
8. 
15:52
Undefined Limits - Part 1 - pdf   15:52
Undefined Limits - Part 2 - pdf   12:07 - Optional
9. 
53:14
Limits at Infinity - Part 1 - pdf   10:34
Limits at Infinity - Part 2 - pdf   17:48
Limits at Infinity - Part 3 - pdf   24:52
10. 
1:21:58
Continuity
- pdf   6:03
Discontinuity - Removable
- pdf   20:25
Discontinuity - Jump
- pdf   15:30
Discontinuity - Infinite
- pdf   11:46
Continuity - 2 Examples
- pdf   11:07
Continuity - Extensive Example
- pdf   17:07
11-12. 
1:18:59
The Slope of a Line - pdf   4:36
The Derivative - Introduction - pdf   5:31
The Derivative - Definition - pdf   7:51  ( Animation)
The Derivative - Example 1 - pdf   13:54  
The Derivative - Example 2 - pdf   16:30
The Derivative - Example 3 - pdf   10:57
Differentiability & Continuity - pdf   19:40
13. 
1:02:22
Rules of Differentiation - Part 1 - pdf   10:48
Rules of Differentiation - Part 2 - pdf   6:59
Rules of Differentiation - Part 3 - pdf   9:44
Rules of Differentiation - Part 4 - pdf   9:34
Rules of Differentiation - Part 5 - pdf   25:17
14. 
44:20
Implicit Differentiation - Part 1 - pdf   20:36
Implicit Differentiation - Part 2 - pdf   11:28
Implicit Differentiation - Part 3 - pdf   12:16
Implicit Differentiation - Part 4 - pdf   13:20 - Optional
15.0  30:26
Review - Sin(x) - pdf   11:18
Review - Cos(x) - pdf   9:11
Review - Tan(x) - pdf   4:33
Review - Trigonometric Identities - pdf   5:24
15.  54:48
Limit of sin(h)/h as h goes to 0 - pdf   16:11
Limit of (1-cos(h))/h as h goes to 0 - pdf   6:23
The Derivative of Sin(x) - pdf   7:23
Derivatives of Trig. Functions - pdf   24:51
16.0 
40:16
Logarithms - Definition - pdf   3:29
Logarithms - Graph (Part 1) - pdf   6:54
Logarithms - Graph (Part 2) - pdf   5:22 - Optional
Logarithms - Fundamental Properties - pdf   2:06
Logarithms - Proof of Property 1 - pdf   0:52
Logarithms - Proof of Property 2 - pdf   2:13
Logarithms - Proof of Property 3 - pdf   2:10
Logarithms - Proof of Property 4 - pdf   2:48
Logarithms: Simplification - 1 - pdf   3:01
Logarithms: Simplification - 2 - pdf   4:16
Logarithms: Simplification - 3 - pdf   4:10
Logarithms: Expansion - pdf   8:17
16.  1:07:27
d/dx of Exp. & Log. Functions - Part 1 - pdf   23:39
d/dx of Exp. & Log. Functions - Part 2 - pdf   10:15
d/dx of Exp. & Log. Functions - Part 3 - pdf   12:18
d/dx of Exp. & Log. Functions - Part 4 - pdf   21:15
17.  29:14
Logarithmic Differentiation
- pdf   29:14
18. 
38:53
d/dx of Inverse Trig. Functions - Part 1
- pdf   23:28
d/dx of Inverse Trig. Functions - Part 2
- pdf   24:43 - Watch up to 15:25.
d/dx of Inverse Trig. Functions - Part 3
pdf   13:06 - Optional 
19-20.  1:19:19
The Derivative & Other Variables - pdf   15:26
Related Rates - Problem 1 - pdf   13:37
Related Rates - Problem 2 - pdf   15:08
Related Rates - Problem 3 - pdf   16:29
Related Rates - Problem 4 - pdf   18:39
21. 
31:00
Linear Approximation - pdf   31:00
22.
  42:11
Supply & Demand Function - pdf   6:45
Market Equilibrium
- pdf   3:46
Elasticity of Demand - Introduction
- pdf   13:46
Elasticity of Demand - Example
- pdf   6:32
Elasticity of Demand & Marginal Revenue
- pdf   11:22
23.
  37:02
Differentials - Definition
- pdf   20:27
Differentials & Change in Revenue
- pdf   16:35
Differentials & Uncertainty
- pdf   23:51 - Optional
24. 
1:31:08
L'H˘pital's Rule - Introduction - pdf   8:29
L'H˘pital's Rule - Heuristic Proof - pdf   7:40
L'H˘pital's Rule: Basic Example - 1 - pdf   5:42
L'H˘pital's Rule: Basic Example - 2 - pdf   4:55
L'H˘pital's Rule: Basic Example - 3 - pdf   4:00
L'H˘pital's Rule: Basic Example - 4 - pdf   2:29
L'H˘pital's Rule: Special Case - 1 (Type 1) - pdf   6:06
L'H˘pital's Rule: Special Case - 2 (Type 1) - pdf   5:38
L'H˘pital's Rule: Special Case - 3 (Type 1) - pdf   10:52
- Optional
L'H˘pital's Rule: Special Case - 1 (Type 2) - pdf   14:49  
L'H˘pital's Rule: Special Case - 2 (Type 2) - pdf   5:56  
L'H˘pital's Rule: Caution - 1 - pdf   7:17
L'H˘pital's Rule: Caution - 2 - pdf   8:22
L'H˘pital's Rule: Caution - 3 - pdf   9:45
25. 
33:59
Vertical and Horizontal Asymptotes - pdf   33:59
26. 
29:34
Higher Derivatives - Introduction - pdf   7:19
Higher Derivatives - Simplification - pdf   22:15
Higher Derivatives & Implicit Differentiation - pdf   10:56 - Optional
27. 
3:37:23
The Second Derivative - Concavity - pdf   36:51
Curve Sketching - 1 - pdf   25:51
Curve Sketching - 2 - pdf   34:28
Curve Sketching - 3 - pdf   20:04
Curve Sketching - 4 - pdf   35:30
Curve Sketching - 5 - pdf   38:42
Curve Sketching - 6 - pdf   25:57
28. 
51:25
Extrema - Introduction - pdf   18:00
Extrema - Example 1 - pdf   7:30
Extrema - Example 2 - pdf   11:20
Extrema - Example 3 - pdf   14:35
29. 
1:34:35
Optimization - Example 1 - pdf   10:44
Optimization - Example 2 - pdf   13:43
Optimization - Example 3 - pdf   22:00
Optimization - Example 4 - pdf   15:55
Optimization - Example 5 - pdf   15:16
Optimization - Example 6 - pdf   16:57
Optimization - Example 7 - pdf   25:02 - Optional
Optimization - Example 8 - pdf   29:17 - Optional
30. 
0:00
Rolle's Theorem - pdf   15:58 - Optional
Mean Value Theorem - pdf   21:08 - Optional
Mean Value Theorem - Example 1 - pdf   5:18 - Optional
Mean Value Theorem - Example 2 - pdf   5:35 - Optional
Mean Value Theorem - Example 3 - pdf   3:42 - Optional
Mean Value Theorem - Example 4 - pdf   4:55 - Optional
Mean Value Theorem - Example 5 - pdf   4:19 - Optional










Review
Multiplication Table

Review Quiz
(without answers)
Review Quiz (with answers)
Review Document
(
Optional)


Problem Sheets
1- Fractions
2- Exponents
3- Factoring
4- Functions & Newton's Quotient
5- Limits Graphically
6- Limit of a Function - Part I
7- Limit of a Function - Part II
8- Undefined Limits
9- Limits at Infinity
10- Continuity
11- Velocity & Tangent Lines
(Optional)
12- Limits & the Derivative
13- Rules of Differentiation
14- Implicit Differentiation
(Without Curves)
      
Implicit Differentiation (With Curves)
15.0 - Review of Trigonometry
15- Derivatives of Trigonometric Functions
16.0 - Review of Logarithms
16- Derivatives of Exponential & Logarithmic Functions
17- Logarithmic Differentiation
18- Derivatives of Inverse Trigonometric Functions
19- Related Rates - Part I
20- Related Rates - Part II
(Optional)
21- Linear Approximation
22- Applications to Business & Economics
23- Differentials & Marginal Analysis
24- L'H˘pital's Rule
25- Asymptotes
26-
Higher Derivatives
27- Curve Sketching
28- Extrema
29- Optimization
30- The Mean Value Theorem
(Optional)


Class Notes
(Under construction...)
Limits - Introduction
Limits - Numerically
Continuity
Velocity (Optional)
The Derivative - Introduction
Rules of Differentiation
Derivatives of Trig. Functions
Summary of Differentiation
Business & Economics - Summary
L'H˘pital's Rule
Curves Sketching - Steps to Follow
Extrema of a Function


Maple Help Files
(Optional)
Introduction
Limits & Continuity
Derivatives
Loops
If Statements
Procedures