MATH 252 — Calculus of Several Variables
BSc BSc Computer Engineering · Kwame Nkrumah University of Science and Technology
OUTLINE Limits and Continuity of functions of several variables, Partial Differentiation of Function of Several Variables. Differentiation of Implicit Functions, Theorem and Applications. Jacobians. Differentiation of a Vector Function of Several Variables. Total Differential, Tangent Plane to Surface. The Tangent Vector. Curvilinear Coordinates. Plane Polar, Cylindrical and Spherical Co-ordinates. Multiple Integrals. Line Integrals, Multiple Surface and Volume Integral. Gradient, Divergence and Curl. The Theorems of Green, Gauss, and Stokes. COURSE OBJECTIVE(S) The objective of this course is to extend the fundamental ideas of the differential and integral calculus to functions of several variables and their respective applications LEARNING OUTCOMES On completion of the Math 252 course the students should be able to: Determine domain, range and compute limit of functions of several variables. Differentiate and integrate functions of several variables. iii. Compute tangents and normal to surfaces. iv. Visualize and manipulate surface in the various coordinate systems. v. Appreciate the importance of Divergence and Stokes theorem in the engineering field. Mode of Delivery The mode of delivery of this course will be blended i.e., in person and online REQUIRED TEXTBOOKS/READINGS Gilbert Strang Calculus, Second Edition 2nd Edition, Wellesley-Cambridge Press, 2010 Jerrold E. Marsden and Alan Weinstein, Calculus II Springer-Verlag, Second Edition 1985 Ron Larson and Bruce H. Edwards, Calculus, 10th Edition, 2014. James Stewart, Calculus-Early Transcendentals, 8th Edition, 2016
- Credits
- 4
- Level
- Year Two
- Semester
- Semester Two
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