Review of vectors, scalars and vector products
Three dimensional coordinate system and equation of straight line and plane
Review of functions and graphs,
Limits & Continuity,
Techniques of Finding Limits,
Discontinuity,
Limits of Sine and Cosine and Exponential Functions
Introduction to Derivatives
Tenses in English Grammar
Examples of Derivatives
Derivative as Rate of Change
Derivative’s Rules
Implicit Differentiation
Higher order derivatives
Leibnitz Theorem
Applications of Derivatives
Monotonic functions
Optimization problems
Relative and Absolute extrema
First and second derivative tests
Point of inflection
Concavity
Curvature
Indeterminate Forms and L’ Hospital rule
Differentials
Integrals and Properties of Integrals
Techniques of Integration
Integration by Parts
Definite Integrals
Integration of Trigonometric
Exponential and Inverse Functions
Integration by Partial Fractions
Reduction Rules
Applications of Integration
Area under the curve
Area between curves
Solids of Revolution
Volume of Solids of revolution by disk
washer, Cylindrical shell & Cross Section Methods
Center of Pressure and Depth of Center of Pressure
Center of mass
Arc length
Improper Integral
Convergence of improper integrals
Sequence and Infinite Series
Convergence and Divergence of sequences and series
Positive Term Series
Integral Test
Basic Comparison Test
Limit Comparison Test
Ratio and Root tests
Alternating series
Absolute and Conditional Convergence
Power series
Maclaurin and Taylor Series and its Applications
Understand the idea of rate of change using the concepts of limits and conitnuity.
Use the techniques of integration for solving and analyzing problems in integral calculus
Use the vector calculus and analytical geometry in multiple dimensions to solve different problems.
Lectures (audio/video aids), Written Assignments/ Quizzes, Tutorials, Case Studies relevant to engineering disciplines, Semester Project, Guest Speaker, Industrial/ Field Visits, Group discussion, Report Writing
Mid Term, Report writing/ Presentation, Assignments, Project Report, Quizzes, Final Term
Thomas’ Calculus by George B. Thomas, Jr., Maurice D. Weir, Joel R. Hass,Pearson, USA..
Swokowski, Onlinick & Pence: Calculus
Robert T. Smith & Roland B. Minton: Calculus
Calculus: Early Transcendentals by James Stewart. Brooks/Cole USA.
Sadat Ali Shah. Exploring The World Of English
J. Thomson and A. V. Martinet. Practical English Grammar, “UniversityPhysics”, latest Edition
There are 133 total credit hours to complete the Software Engineering degree.