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Course Learning Outcome
- Determine the limit and the continuity of functions.
- Use the definition of derivative and some differentiation techniques to obtain a derivative.
- Solve integration problems using basic techniques.
References
Maurice D. Weir, Joel Hass, Thomas' Calculus, 15th edition, Pearson Education, Inc. 2019.
J. Stewart, Calculus, 9th. edition, Cengage Learning, 2020.
Robert A. Adams, Christopher Essex, Calculus: A Complete Course, 10th edition E-Learning with e-book, MyLabMath, Pearson Education, 2021.
Elliott Mendelson, Schaum's Outline of Calculus, Seventh Edition, McGraw-Hill, 2022.
Tutorials
Tutorial 2 Limit and its Definition
Tutorial 3 One-Sided Limits, Infinite Limits and Limits at Infinity, Continuity
Tutorial 4 Derivatives, Product Rule and Quotient Rule
Tutorial 5 Chain Rule, Implicit Differentiation, Linearization and Differentials
Tutorial 6 Applications of Derivatives
Tutorial 7 Finite Sums, Definite Integrals, Fundamental Theorem of Calculus
Tutorial 8 Indefinite Integrals, Substitution Rule, Areas between Curves
Tutorial 9 Inverse Functions and Their Derivatives, Natural Logarithmic and Exponential Functions
Tutorial 10 General Logarithmic and Exponential Functions, l'Hôpital's Rule
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