Calculus 1 - Fundamentals of Calculus

This course introduces the fundamentals of calculus and covers important topics such as limits, derivatives, and their applications

Section 1: Review of Functions

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1.1 - What is a Function?

1.2 - Domain and Range

1.3 - Set and Interval Notation

1.4 - Find Domain/Range of Functions #1

1.5 - Find Domain/Range of Functions #2

1.6 - Composite Functions

1.7 - Composite Functions Practice

1.8 - Rational Functions

1.9 - Finding Vertical Asymptotes

1.10 - Finding Horizontal Asymptotes

1.11 - Oblique Asymptotes (Locked)

1.12 - Trigonometric Functions Review (Locked)

1.13 - Working with Trig Functions (Locked)

1.14 - Using the Unit Circle (Locked)

1.15 - Exponential Functions Review (Locked)

1.16 - Graphing Exponential Functions (Locked)

1.17 - Logarithmic Functions Review (Locked)

1.18 - Evaluating Logarithms (Locked)

1.19 - Properties of Logarithms (Locked)

Section 2: Limits

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2.1 - Definition of the Limit

2.2 - Finding limits using table of values

2.3 - One Sided Limits

2.4 - One Sided Limits Practice

2.5 - Limit Laws and Rules

2.6 - Limit Laws Practice (Locked)

2.7 - Evaluating Limits (Locked)

2.8 - Evaluating Limits Practice #1 (Locked)

2.9 - Evaluating Limits Practice #2 (Locked)

2.10 - Infinite Limits (Locked)

2.11 - Evaluating Infinite Limits (Locked)

2.12 - Infinite Limits Rules (Locked)

2.13 - Limits at Infinity (Locked)

2.14 - Evaluating Limits at Infinity #1 (Locked)

2.15 - Evaluating Limits at Infinity #2 (Locked)

2.16 - Continuity (Locked)

2.17 - Continuity Practice (Locked)

Section 3: Derivatives

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3.1 - Definition of the Derivative

3.2 - Derivative Notations

3.3 - Finding derivatives using the definition

3.4 - Derivative Rules & Common Derivatives

3.5 - Derivative Rules Practice

3.6 - Product & Quotient Rule(Locked)

3.7 - Product Rule Practice (Locked)

3.8 - Quotient Rule Practice (Locked)

3.9 - Derivative of Trig Functions (Locked)

3.10 - Trig Functions Derivative Practice (Locked)

3.11 - Derivative of Exponential/Log functions (Locked)

3.12 - Practice finding derivative of exponential/log functions (Locked)

3.13 - Chain Rule (Locked)

3.14 - Practice using Chain Rule #1 (Locked)

3.15 - Practice using Chain Rule #2 (Locked)

3.16 - Implicit Differentiation (Locked)

3.17 - Implicit Differentiation Practice (Locked)

Section 4: Application of Derivatives

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4.1 - Critical Points (Locked)

4.2 - Finding Critical Points (Locked)

4.3 - Maxima & Minima (Locked)

4.4 - Finding Maxima & Minima #1 (Locked)

4.5 - Finding Maxima & Minima #2 (Locked)

4.6 - Mean Value Theorem (Locked)

4.7 - Applying Mean Value Theorem (Locked)

4.8 - L'Hopital's Rule (Locked)

4.9 - Applying L'Hopital's Rule (Locked)

Section 5: Integrals and their Applications

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5.1 - Antiderivatives & Indefinite Integrals (Locked)

5.2 - Finding Simple Indefinite Integrals (Locked)

5.3 - Integral Power Rule (Locked)

5.4 - Applying the Integral Power Rule (Locked)

5.5 - Properties of Integrals (Locked)

5.6 - Properties of Integrals Practice (Locked)

5.7 - The Definite Integral (Locked)

5.8 - Evaluating Definite Integrals (Locked)

5.9 - Area Between Curves #1 (Locked)

5.10 - Area Between Curves #2 (Locked)

5.11 - Finding Area Between curves practice #1 (Locked)

5.12 - Finding Area Between curves practice #2 (Locked)

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