Math 1210: Calculus I Course Videos | Course Videos

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Department of Mathematics

College of Science

Chapter 1 Functions 7 lessons
1. Topic Exponential, Inverse, and Logarithmic Functions 3 lessons
  
  Exponential Functions
  Inverse Functions
  Logarithmic Functions
2. Topic Trigonometric Functions 4 lessons
  
  Trigonometric Functions
  Trigonometric Graphs
  Trigonometric Identities
  Inverse Trigonometric Functions
Chapter 2 Limits 13 lessons
1. Topic Introduction to Limits and One-Sided Limits 3 lessons
  
  Why We Need Limits
  Limits from Graphs and Tables
  One-Sided Limits
2. Topic Limit Laws and Techniques 4 lessons
  
  Limit Laws
  One-Sided Limit Laws
  Algebraic Techniques for Limits
  The Squeeze Theorem
3. Topic Infinite Limits and End Behavior 4 lessons
  
  Infinite Limits
  Finding Infinite Limits Analytically
  Limits at Infinity
  End Behavior of Rational Functions
4. Topic Continuity 2 lessons
  
  Continuity at a Point
  Continuous Functions
Chapter 3 Derivatives 20 lessons
1. Topic The Derivative 2 lessons
  
  Instantaneous Velocity and Tangent Lines
  The Derivative
2. Topic The Derivative as a Function 3 lessons
  
  The Derivative as a Function
  Graphs of Derivatives
  Differentiability
3. Topic Basic Differentiation Rules 3 lessons
  
  Derivative Rules
  Higher-Order Derivatives
  The Derivative of e^x
4. Topic Product and Quotient Rules 2 lessons
  
  The Product Rule
  The Quotient Rule
5. Topic Derivatives of Trig Functions 2 lessons
  
  Derivatives of Sine and Cosine
  Derivatives of the Other Trigonometric Functions
6. Lesson One-Dimensional Motion
7. Topic The Chain Rule and Implicit Differentiation 3 lessons
  
  The Chain Rule
  More with the Chain Rule
  Implicit Differentiation
8. Topic Exponential and Logarithmic Functions 2 lessons
  
  Derivatives of Exponential and Logarithmic Functions
  Logarithmic Differentiation
9. Topic Inverse Functions 2 lessons
  
  Derivatives of the Inverse Trigonometric Functions
  Derivatives of Inverse Functions
Chapter 4 Applications of Derivatives 22 lessons
1. Topic Related Rates 2 lessons
  
  Related Rates
  More Related Rates
2. Topic Extrema 2 lessons
  
  Maxima and Minima
  Finding Absolute Maxima and Minima
3. Lesson The Mean Value Theorem
4. Topic Curve Sketching 5 lessons
  
  Increasing and Decreasing Functions
  Finding Local Maxima and Minima
  Concavity and Inflection Points
  Graphing Functions with Calculus
  More Graphing with Calculus
5. Topic Optimization 3 lessons
  
  Optimization
  More Optimization
  Even More Optimization
6. Topic Linear Approximation and Differentials 2 lessons
  
  Linear Approximations
  Differentials
7. Topic L'Hôpital's Rule 4 lessons
  
  L'Hôpital's Rule for Quotient Forms
  L'Hôpital's Rule: Related Forms and Pitfalls
  L'Hôpital's Rule: Exponential Forms
  Growth Rates
8. Lesson Newton's Method
9. Topic Antiderivatives and IVPs 2 lessons
  
  Antiderivatives
  Initial Value Problems
Chapter 5 Integrals 5 lessons
1. Topic Approximating Area 3 lessons
  
  Approximating Areas under Curves
  Sigma Notation
  Riemann Sums
2. Topic The Definite Integral 2 lessons
  
  The Definite Integral
  Evaluating Definite Integrals using Graphs and Geometry