Limits and continuity of function of a single variable. Differentiation, differentiation rules, derivative of trigonometric functions, the chain rule, implicit differentiation. Differentiation of inverse functions and logarithms. Application of derivative, the Mean Value Theorem, monotonic functions, concavity and curve sketching. Indeterminate forms. Applied optimization, antiderivative.
Course Objectives & Outcomes
- Introduce the concept of limits, continuity and derivatives to the student..
- Equip the student with necessary knowledge and skills to enable him to find limits and derivatives of single valued functions and its applications.
Upon successful completion of this course, the student will be able to:
- Evaluate limits of single valued functions.
- Classify continuity of functions.
- Apply deferentialrules and find the derivative ofdifferentkinds of functions.
- Use differentiation in some applications
- Find the limits for the indeterminate forms.
- Thomas, Weir and Hass (2010) Thomas Calculus, Early Transcendental, 12th edition,Addison-Wesley, ISBN-13: 978-0321730787, ISBN-10: 032173078X.
- Anton, Bivens and Davis (2013) Calculus Late Transcendentals, 〖10〗^thEdition, John Wiley & Sons, INC, ISBN-13: 978-1-11809248-4 ISBN-10: 1118092481.
- R. Ellis, D. Gulick (2000) Calculus with Analytic Geometry, 5^th edition, Academic Press. 5th edition, ISBN-13: 978-0030968006, ISBN-10: 0030968003.
Course ID: MATH 201
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