Content text MTH132 Mathematics II.pdf
3 Find Fourier series, Fourier sine and cosine series Unit 7: Fourier series [5 Hrs] 7.1 Introduction 7.2 Periodic functions and trigonometric series 7.3 Fourier series 7.4 Fourier sine and cosine series 5. List of Tutorials SN Tutorials 1. Problems of indefinite, definite and improper integration. 2. Area, volume, Consumer’s surplus and producer’s surplus. 3. Solution of first and second order differential equations. 4 Problem related to Vector spaces, subspaces, linear dependent and independent, and Eigen values and Eigen vectors. 5 Solve complex numbers & complex function related problems 6 Sum of series and expansion of function in series 7 Fourier series, Fourier sine and cosine series 6. List of Practical’s by using MATLAB/Mathematica /other software tools SN Practicals 1. Integration by symbolic calculations 2. Visualization of figure for surface area and volume. 7. Evaluation System and Students’ Responsibilities Evaluation System The internal evaluation of a student may consist of assignments, attendance, presentation, term- exams etc. The tabular presentation of the internal evaluation is as follows: Internal Evaluation Weight Marks External Evaluation Marks Theory 50 Semester End 50 Attendance & Class Participation 10% Assignments 20% Presentations/Quizzes 10% Internal Assessment 60% Total Internal 50 Full Marks: 50 + 50 = 100 Students’ Responsibilities Each student must secure at least 45% marks separately in internal assessment and