# Economics

INSTITUTE OF BUSINESS ADMINISTRATION

Course Title:Calculus-IISemester:Spring 2014

Course Number:MTS 232Credit Hrs:3

Teacher:Dr. Junaid Alam Khan

Note:Class meets twice a week each time for a 75 minute session

Text Book

Calculus by James Stewart, 5th Edition, Cengage Learning.

Reference Book

Calculus by Howard Anton, 7th Edition, John Wiley and Sons. Soft copy of text book, reference book and other related materials are available at following link: https://www.dropbox.com/sh/bwqcu63iznilbn8/FnyVnZtNur

COURSE OUTLINE

Parametric equations and Polar Coordinates

Plane Curves defined by parametric equations, Calculus with parametric curves, Arc length, Tangents, Areas, Length, Area of Surface of revolution, Polar coordinates, graphs in polar coordinates, Tangents, Areas and Lengths in Polar Coordinates.

Topics in Analytical Geometry

Introduction to the conic sections, Definition, graphs and reflection properties of parabola, ellipse and hyperbola, translation of coordinate axes.

Three-Dimensional Space; Vectors

Rectangular coordinates in 3-space, sphere, Vectors, Dot product, Cross product, Parametric equations of lines, Planes in 3-space, Cylinders and Quadric Surfaces. .

Vector-Valued Functions

Introduction to vector-valued functions, Calculus of vector valued functions, arc length, unit tangent and unit normal, curvature.

Partial Derivatives

Functions of two or more variables, level curves, limits and continuity, Partial derivatives, Tangent Planes and Linear Approximation, The chain rule, Directional derivatives and gradients, Maxima and minima of functions of two variables, Lagrange multipliers.

Multiple Integrals

Double integrals for rectangular and non rectangular regions, Triple integrals.

Assessment Scheme

Two Tests each of 20 marks during semester= 40 marks

Quizzes & Assignments = 20 marks

Final Examination...

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