# Instructional Videos for Calculus

The videos below were created to support students at Cambridge Rindge and Latin School in their learning of content in our Calculus course. The topic and the link to a video covering that content are below.

 Lesson # Topic 1 Introduction to Calculus A 2 Introduction to Limits 3 Limits Extended 4 Continuity 5 Equation of a Tangent Line 6 Differentiability 7 Derivative Rules 7b Product and Quotient Rule Proofs 8 Motion of an Object 9 Trigonometric Derivatives 10 Chain Rule 11 Derivatives of Parametric Functions 12 Implicit Differentiation 13 Derivatives of Inverse Trigonometric Functions 14a What is e? (Calculus) 14 Derivatives of Exponential and Logarithmic Functions 15 L'Hopitals Rule 16 Extreme Values 17 Increasing and Decreasing Intervals 18 Concavity 19 Optimization 20 Linearization 21 Related Rates 22 Introduction to Calculus B 23 Rectangular Approximating Method 24 Introduction to Integrals 25 Integration Rules 26 Average Value 27 Fundamental Theorem of Calculus 28 Trapezoidal Method 29 U-substitution 30 Slope Fields and Solving Differential Equations 31 Euler's Method 32 Integration by Parts 33 Integration by Partial Fractions 34 Area Between Curves 35 Area Between Polar Curves 36 Volumes of Solids with Known Cross-Sections 37 Volumes of Solids of Revolution - Washer Method 38 Volumes of Solids of Revolution - Shell Method 39 Volumes of Solids of Revolution - Off axis 40 Length of a Curve 41 Net Change 42 Work 43 Relative Rates of Growth 44 Improper Integrals 45 Taylor Series 46 Lagrange Error 47 Convergence Tests 47b Convergence Tests Update