Calculus

Robert Adams is an Emeritus Professor in the Mathematics Department at the University of British Columbia. He first joined UBC in 1966 after completing a Ph.D. in Mathematics at the University of Toronto. With a keen interest in computers, mathematical typesetting, and illustration, Professor Adams became the first Canadian author in 1984 to typeset his own textbooks using TeX on a personal computer. Christopher Essex is a Professor in the Department of Applied Mathematics at the University of Western Ontario, an award-winning teacher and author. Dr. Essex did pioneering work on the thermodynamics of photon and neutrino radiation.

Chapter P: Preliminaries Chapter 1: Limits and Continuity Chapter 2: Differentiation Chapter 3: Transcendental Functions Chapter 4: More Applications of Differentiation Chapter 5:Integration Chapter 6:Techniques of Integration Chapter 7:Applications of Integration Chapter 8: Conics, Parametric Curves, and Polar Curves Chapter 9: Sequence, Series, and Power Series Chapter 10: Vectors and Coordinate Geometry in 3-Space Chapter 11: Arc length, Metric Spaces, and Applications Chapter 12: Vector Functions and Curves Chapter 13: Partial Differentiation Chapter 14: Applications of Partial Derivatives Chapter 15: Multiple Integration Chapter 16: Vector Fields Chapter 17: Vector Calculus Chapter 18: Differential Forms and Exterior Calculus Chapter 19: Ordinary Differential Equations Chapter 20: More Topics in Differential Equations Appendix 1 Complex Numbers Appendix 2 Complex Functions Appendix 3 Continuous Functions Appendix 4 The Riemann Integral Appendix 5 Doing Calculus with Maple Appendix 6 Doing Calculus with Python