Major1 – Semester 251
introduction
1.1: 4 ways to represent a function, the vertical line test
1.1: Piecewise Functions, Odd and even functions
1.2: A catalog of essential functions
1:3 1 Combinations of functions
1.3: 2 Transformation of functions
1.1-3 Exercises
1.4: Exponential Functions
1.5: 1 Inverse Functions
1.5: The natural logarithm, Inverse trigonometric functions
1.5: Logarithmic Functions
Sample 1
Sample 2
Sample 3
Major 242- part 1
major 242- part 2
major 242- part 3
Sample 1 Part 1
Sample 1 Part 2
Sample 2 – Part 1
Sample 2 – Part 2
Sample 3 – Part 1
Sample 3 – Part 2
Major 251 Part 1
Major 251 – Part 2
Major 251 – Part 3
2.2: The limit of a function
2.2: Infinte Limits_ Vertical Asymptotes
2.3: Limit Laws
2.3: 2 Limit Laws2
2.3: Solving Limits Questions
2.3:The Squeeze Theorem
2.5: Continuity
2.5: Properties of Continuous Functions
2.5: Continuity Theorems
2.5: The Intermediate Value Theorem
2.6: Limits at Infinity
2.7: Derivatives and Rates of change
2.7: The Tangent Line
2.8: The Derivative as a Function
2.8: Differentiability
3.1: Derivatives of Polynomials and Exponential Functions
3.1: Sum and Difference Rule
3.1: Derivative of the Natural Exponential Function
3.2: The Product Rule
3.2: The Quotient Rule
3.2: Exercises
3.3: Derivatives of Trigonometric Functions
3.3: Special Trigonometric Limits
3.3: Exercises
3.4-1 The chain Rule
3.4-2 Exercises
3.5: Implicit Differentiation
3.6-1 Derivatives of Logarithmic Functions
3.6-2 Using Logarithmic Simplification
3.6-3 Using Ln to find Derivatives
3.6-4 Derivatives of Inverse Trigonometric Functions
3.9-1 Related Rates
3.9-2 Important Note
3.9-3 Exercises
3.11-1 Hyperbolic Functions
3.11-2 Hyperbolic Identities
3.11-3 Derivatives of Hyperbolic Functions
sample 2
sample 3
Major2 (live)
4.1: Extreme Values
4.1: Critical Numbers
4.2: Rolle’s Theorem
4.2: The Mean Value Theorem
4.3 : What Derivatives Tell Us about the Shape of a Graph
4.3: Exercises 1
4.3 : Exercises 2
4.3 : Graphing Exercises
4.4: Indeterminate Forms and l’Hospital’s Rule
4.4: Exercises
4.5 : Summary of Curve Sketching
4.5 : Exercises
4.5:Exercises 2
4.7 : Optimization Problems
4.7 : Exercises 1
4.7 : Exercises 2
sample 1
Final 1
Final 2