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Recommended math books

Algebra

  1. Dugopolski, Mark. College Algebra, 4th
  2. Beecher, Judith. College Algebra, 3rd

Precalculus

  1. Foerster, P. Precalculus with Trigonometry Concepts and Applications
  2. Larson, Ron. Precalculus, 7 ed
  3. Sullivan, Michael. Precalculus, 8th ed
  4. Hormsby, John. Precalculus with limits
Calculus
  1. Hughes-Hallett, Deborah, William G. McCallum, Andrew M. Gleason, et al. Calculus: Single and Multivariable.
  2. Strang, Gilbert. Calculus.
  3. Stewart, James. Calculus, 6th ed.
  4. Howard A. Anton, Irl Bivens, Stephen Davis. Calculus: Late Transcendentals Single and Multivariable
  5. Thomas' Calculus, Single Variable, 12/E
  6. Edwards & Penney. Calculus, Early Transcendentals, 7/E
  7. Varberg, Purcell & Rigdon. Calculus with Differential Equations, 9/E
  8. Larson, Ron. Calculus with Analytic Geometry, 8ed

Multivariable Calculus

  1. Beatrous, Frank and Caspar Curjel. Multivariate Calculus: A Geometric Approach. 2002.
  2. Kaplan, Wilfred. Advanced Calculus, 3rd ed.
  3. Edwards, C. H. Advanced Calculus of Several Variables.
  4. Edwards & Penney. Multivariable Calculus, 6/E
  5. James Stewart. Multivariable Calculus, 2008

Linear Algebra

  1. Strang, Gilbert. Linear Algebra and its Applications, 2006
  2. Lay, David. Linear Algebra and its Applications, 2005
  3. Anton, Howard. Elementary Linear Algebra: applications, 2005
  4. Hill, Richard. Elementary Linear Algebra with applications, 1995

Differential Equations

  1. Ross, Shepley L. Introduction to Ordinary Differential Equations, 4th ed. 1989.
  2. Borrelli and Coleman. Differential Equations: A Modeling Perspective. 1996.
  3. 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

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