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Recommended math books
Algebra
- Dugopolski, Mark. College Algebra, 4th
- Beecher, Judith. College Algebra, 3rd
Precalculus
- Foerster, P. Precalculus with Trigonometry Concepts and Applications
- Larson, Ron. Precalculus, 7 ed
- Sullivan, Michael. Precalculus, 8th ed
- Hormsby, John. Precalculus with limits
Calculus
- Hughes-Hallett, Deborah, William G. McCallum, Andrew M. Gleason, et al. Calculus: Single and Multivariable.
- Strang, Gilbert. Calculus.
- Stewart, James. Calculus, 6th ed.
- Howard A. Anton, Irl Bivens, Stephen Davis. Calculus: Late Transcendentals Single and Multivariable
- Thomas' Calculus, Single Variable, 12/E
- Edwards & Penney. Calculus, Early Transcendentals, 7/E
- Varberg, Purcell & Rigdon. Calculus with Differential Equations, 9/E
- Larson, Ron. Calculus with Analytic Geometry, 8ed
Multivariable Calculus
- Beatrous, Frank and Caspar Curjel. Multivariate Calculus: A Geometric Approach. 2002.
- Kaplan, Wilfred. Advanced Calculus, 3rd ed.
- Edwards, C. H. Advanced Calculus of Several Variables.
- Edwards & Penney. Multivariable Calculus, 6/E
- James Stewart. Multivariable Calculus, 2008
Linear Algebra
- Strang, Gilbert. Linear Algebra and its Applications, 2006
- Lay, David. Linear Algebra and its Applications, 2005
- Anton, Howard. Elementary Linear Algebra: applications, 2005
- Hill, Richard. Elementary Linear Algebra with applications, 1995
Differential Equations
- Ross, Shepley L. Introduction to Ordinary Differential Equations, 4th ed. 1989.
- Borrelli and Coleman. Differential Equations: A Modeling Perspective. 1996.
- Boyce, William. Elementary Differential Equations and Boundary Value Problems
Some Topics
| Acceleration |
Alternating series |
Antiderivative |
Arc length |
Area between curves |
| Area of a surface |
Asymptote |
Average value |
Chain rule |
Comparison test |
| Conic sections |
Continuity |
Cross product |
Curl |
Curvature |
| Curve sketching |
Cusps |
Definite integral |
Derivative |
Delta notation |
| Differentiability |
Differentials |
Directional derivatives |
Divergence |
Divergence theorem |
| Domain |
Dot product |
Double integrals |
Endpoints |
Exponential functions |
| Exponential growth and decay |
Extreme value theorem |
Extreme values |
Fundamental theorem of calculus |
FTC |
| Gradient vector |
Green's theorem |
Horizontal asymptote |
Hyperbolic functions |
Implicit differentiation |
| Improper integrals |
Infinity |
Initial condition |
Integral |
Integration by parts |
| Intermediate value theorem |
Inverse functions |
Lagrange multipliers |
L'Hospital's rule |
Limits and continuity |
| Line integrals |
Linear approximations |
Linear equations |
Maclaurin series |
Maxima |
| Mean value theorem |
MVT |
Minima |
Monotonic |
Newton's method |
| Optimization problems |
Parametric surfaces |
Partial fractions decomposition |
Polar coordinates |
Power rule |
| Power series |
Product rule |
Quotient rule |
Range |
Rates of change |
| Ratio test |
Related rates |
Root test |
Range |
Rates of change |
| Sequences |
Series |
Slope |
Stoke's theorem |
Substitution rule |
| Summation notation |
Surface integrals |
Tangent line |
Taylor polynomials |
Taylor series |
| Trigonometric substitution |
Triple integrals |
Velocity |
Vertical asymptotes |
Volumes by cylindrical shells |
Under construction
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