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2015-2016 Academic Year Curriculm and Syllabus for All Courses (B.E and B.Tech): 1.First Year B.E (First Semester) EM-11001:Engineering Mathematics I Chapter 1. Title Functions 2. Permutations, Combinations and the Binomial Theorem and Mathematical Induction 3. Complex Numbers 4. Probability 5. Linear Algebra 6. Analytics Geometry 2.First Year B.E (Second Semester) EM-12002:Engineering Mathematics II Chapter Title 1. Limits and Continuity 2. Differentiation 3. Applications of Derivatives 4. Optimization 5. Integration 6. Applications of Integration 3.Second Year B.E (First Semester) EM-21003:Engineering Mathematics III Chapter 1. Title Transcendental Functions 2. Techniques of Integration 3. Parametrized Curves and Polar Coordinates 4. Vectors and Analytic Geometry in Space 5. Linear Algebra 4.Second Year B.E (Second Semester) EM-22004:Engineering Mathematics IV Chapter Title 1. Vector Functions and Their Derivatives 2. Partial Derivatives 3. Multiple Integrals 4. Vector Analysis 5. Infinite Series 5.Third Year B.Tech (First Semester) EM-3011:Engineering Mathematics Chapter Title 1. Complex Numbers. Complex Analytic Functions 2. Complex Integration 3. Power Series, Taylor Series, Laurent Series 4. Integration by the Method of Residues 5. Comformal Mapping 6.Third Year B.Tech (Second Semester) EM-3011:Engineering Mathematics Chapter Title 1. First-Order Differential Equations 2. Linear Differential Equations of Second and Higher Order 3. Series Solution of Differential Equations.Special Functions 4. Laplace Transform 5. Fourier Series 6. Partial Differential Equations 7.Fourth Year B.Tech (First Semester) EM-4011:Engineering Mathematics Chapter Title 1. Numerical Methods in General 2. Numerical Methods in Linear Algebra 3. Numerical Methods for Differential Equations 8.Fourth Year B.Tech (Second Semester) EM-4011:Engineering Mathematics Chapter Title 1. Probability Theory 2. Ramdom Variables, Probability Distribution, Mathematical Expectation, Mean and Variance of a Distribution 3. Theory Binomial, Poisson and Hypergeometric Distributions .Queuing 4. Special Continuous Distribution 5. Distributions of Several Random Variables 6. Confidence Intervals Teaching periods/week for Engineering Mathematics Subjects: First Semester Sr. 1. Year First Year B.E Code EM-11001 Lecture Tutorial Total 4 2 6 Credit points 6 2. Second Year B.E EM-21003 4 2 6 6 3. Third Year B.Tech EM-3011 3 1 4 4 4. Fourth Year B.Tech EM-4011 3 1 4 4 Lecture Tutorial Total Second Semester Sr. Year Code Credit points 1. First Year B.E EM-12002 4 2 6 6 2. Second Year B.E EM-22004 4 2 6 6 3. Third Year B.Tech EM-3011 3 1 4 4 4. Fourth Year B.Tech EM-4011 3 1 4 4 References for All Courses(B.E and B.Tech): 1. Advanced Engineering Mathematics/9th edition Erwin Kreyszig John Wiley & Sons,Inc. 2.Thomas' Calculus/Twelfth edition Georga B.Thomas, Maurice D.Weir,Joel R.Hass 3.Introduction to Probability and Statistics Hogg and Kraigs Macmillan Company, New York Contact Information: Departmental Email Address: [email protected] Departmental Address: Department of Engineering Mathematics, Technological University, Yamethin.