Day	Read	Use / Do
1	Precalculus Review Are You Ready for Calculus?	Notes on Transcendental Functions Graphs of Functions You Should Know Exercises - Review of Some Ideas from Precalculus
2	Introduction to Calculus Tangent Lines, Velocity, and Other Rates An Intuitive Way to Think About Limits The Epsilon Delta Definition of a Limit Examples of Using the Epsilon-Delta Definition	Exercises - Tangent Lines, Velocity, and Other Rates Exercises - The Epsilon-Delta Def. of a Limit (and Review)
3	Limits Proof of the Limit of a Sum Law The Limit Laws Infinite Limits Limits at Infinity	Exercises - Limits
4	More Limits Comparisons of Functions Limits of Compositions	Exercises - Comparisons of Functions (and Review) Exercises - Limits of Compositions (and Review) More Practice - Limit Laws More Practice - Infinite Limits and Limits at Infinity More Practice - Limits
5	Continuity Continuous Functions and Discontinuities	Exercises - Continuous Functions (and Review) More Practice - Continuity
6	The Intermediate Value Theorem The Intermediate Value Theorem (IVT) Proof of the IVT (for the curious)	Exercises - Intermediate Value Theorem (and Review) More Practice - Intermediate Value Theorem
7	Derivatives and Differentiability The Definition of the Derivative Differentiability Acceleration, Velocity, and Speed	Exercises - Definition of Derivative (and Review) Exercises - Differentiability More Practice - Definition of Derivative More Practice - Differentiability and Continuity
8	Induction Summations and Sigma Notation Two Important Properties of Sums (Linearity) Induction	More Exercises - Induction and Sums
9	Basic Rules of Differentiation Basic Derivative Rules Proof Derivatives of Constant Functions are Zero The Binomial Theorem Proof of the Power Rule (for positive integer powers) Proof of the Derivative of the Sine Function Proof of the Sum and Difference Rules Proof of the Constant Multiple Rule Proof of the Product Rule Proof of the Quotient Rule	Exercises - Basic Derivative Rules (and Review) Exercises - Derivatives Involving Trig (and Review)
10	Chain Rule Proof of the Chain Rule (for Compositions)	Exercises - The Chain Rule (and Review) More Practice: The Chain Rule
12	Implicit Differentiation Implicit Differentiation The Power Rule for Derivatives (for rational powers)	Exercises - Implicit Differentiation (and Review) More Practice - Implicit Differentiation
11	More Derivative Rules Inverse Trigonometric Functions Derivatives of Inverse Trigonometric Functions A Natural Question Logarithmic Differentiation	Exercises - More Derivative Rules Exercises - Higher Order Derivatives Exercises - Logarithmic Differentiation Exercises - Finding Derivatives (Mixed Techniques)
12	Related Rates	Exercises - Related Rates More Practice - Related Rates
13	Differentials and Approximation	Exercises - Differentials and Approximation
14	Extrema Extrema of Functions Proof of the Boundedness Theorem (for the curious) Proof of the Extreme Value Theorem (for the curious) Proof of Fermat's Theorem	Exercises - Extrema of Functions
15	Mean Value Theorem Proof of Rolle's Theorem Proof of the Mean Value Theorem Proof that Functions with Zero Derivatives are Constant	Exercises - The Mean Value Theorem More Practice - The Mean Value Theorem
16	Graphing The First Derivative Test The Second Derivative Test Concavity	The Graphing Handout Exercises - Graphing Functions (Note, this set of exercises duplicates many of the problems in the Graphing Handout - it's a work in progress)
17	Optimization	Exercises - Optimization
19	Antiderivatives U-Substitution	Exercises - Antiderivatives and U-Substitution
20	Separable Differential Equations	Exercises - Separable Differential Equations
21	Riemann Sums and the Definite Integral Summation Techniques Approximating the Area Under a Function Riemann Sums and the Definite Integral Finding Definite Integrals Directly from Riemann Sums	Exercises - Summation Techniques Exercises - Riemann Sums
21	The Average Value of a Function The Mean Value Theorem for Integrals	Exercises - Mean Value Theorem for Integrals
22	The Fundamental Theorem of Calculus Evaluating Definite Integrals with Antiderivatives Properties of the Definite Integral The Derivative of a Definite Integral Function	Exercises - The Fundamental Theorem of Calculus (Part I) Exercises - Fundamental Theorem of Calculus (Part II)
23	More on U-Substitution	Exercises - More on U-Substitution
26	The below sections are "in progress" or coming sooon
24	Area between Curves Circular Areas & Trigonometric Substitution	Exercises - Area Between Curves
25	Finding Volumes with Definite Integrals
26	Integration by Parts
27	Approximate Integration
28	Improper Integrals
29	Application: Probability Distributions & Functions of Random Variables
30	Taylor Polynomials
31	Sequences & Series
32	Power Series
33	Taylor Series
34	3D & Higher Dimensional Spaces
35	Multivariable Functions
36	Partial Derivatives
37	Linearizations
38	Vectors
39	The Dot Product
40	The Normal Equation of a Plane
41	The Gradient Vector
42	The Chain Rule
43	Optimization
44	Lagrange Multipliers
45	Integrals over General Regions
46	Application: Joint Density Functions
47	Triple Integrals