As a calculus instructor, I prepared these PDFs as a review of the chapters in Stewart’s “Single Variable Calculus, Early Transcendentals.” It includes example problems which have been worked out in some detail. I hope you find these useful.
2.1 Tangent and Velocity Problems2.2 Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2.4 Precise Definition of a Limit
2.5 Continuity
2.6 Limits at Infinity Horizontal Asymptotes
2.7 Derivatives and Rates of Change
2.8 Derivative as a Function
3.1 Derivatives of Polynomials and Exponential Functions
3.2 Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
3.4 Chain Rule
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
3.9 Related Rates
3.10 Linear Approximations and Differentials
4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
4.4 Intermediate Forms & LHospitals Rule
4.5 Curve Sketching
4.7 Optimization Problems
4.8 Newtons Method
4.9 Antiderivatives
5.1 Riemann Sums and Distances
5.2 Definite Integral
5.3 Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Net Change Theorem
5.5 Substitution Rule
6.1 Areas Between Curves
6.2 Volumes
6.3 Volumes by Cylindrical Shells
6.5 Average Value of a Function
7.1 IBPs
7.2 Trigonometric Integrals
7.3 Trigonometric Subst
7.4 IBPFs
7.5 Integration Strategies
7.7 Approximate Integration
7.8 Improper Integrals
8.1 Arc Length
8.2 Surface Revolution
8.3 Physics Engineering
9.1 Modeling Differential Eqs
9.2 Direction Fields Euler Method
9.3 Separable Equations
9.4 Population Growth Models
9.5 Linear Equations
9.6 Predator Prey
10.1 Parametric Equation Curves
10.2 Parametric Curves
10.3 Polar Coordinates
10.4 Polar Area Lengths
10.5 Conic Sections
11.1 Sequences
11.2 Series
11.3 Integral Test Sum Estimates
11.4 Comparison Test
11.5 Alternating Test
11.6 Absolute Ratio Root Test
11.7 Testing Series Convergence Strategy
11.8 Power Series
11.9 Functions as Power Series
11.10 Taylor Maclaurin Series
12.1 3D Coordinates
12.2 Vectors
12.3 Dot Product
12.4 Cross Product
12.5 Equations for Lines Planes