Tiêu đề MTH132 Mathematics II.pdf ✅

1 Pokhara University Faculty of Science and Technology Course Code: MTH 132 (3 credits) Full Marks: 100 Course Title: Mathematics II (3-3-0) Pass Mark: 45 Nature of the Course: Theory Total Lectures: 48 hours Level: Bachelor Year: I / Semester: II Program: Bachelor of Computer Application 1. Course Description: This course covers fundamental of integrals, application of integration, differential equations, vector Space, complex numbers and function of complex variables, sequence and series and Fourier series which are essential as mathematical foundation for computing. 2. General Objectives: The general objective of this course is to provide the students with basic mathematical skills required to understand Computer Application Courses 3. Methods of Instructions: Lecture, Tutorial, Discussion, Assignments and Practical works. 4. Contents in Detail Specific Objectives Contents Explain  Indefinite  Definite  Improper and  Double integration  Symbolic calculation of integration using any software tools (MATLAB/Mathematica/Oc tave etc.) Unit 1: Fundamental of integrals [10 Hrs] 1.1 Introduction 1.2 Indefinite integrals 1.3 Techniques of integration 1.3.1 Integration by substitution 1.3.2 Integration by parts 1.3.3 Integration by partial fractions 1.4 Definite integrals 1.5 Improper integrals 1.6 Beta and Gamma functions 1.7 Double integral (concept only)  Evaluate area and volume by integration Unit 2: Application of integration [7Hrs] 2.1 Introduction 2.2Application in economics (Determination of total cost and total revenue function) 2.3Area between the curves 2.4 Arc length of curves 2.5 Volume of solid of revolution (Disks and Washers) 2.6 Area of surface of revolution, 2.7 Consumer’s surplus and producer’s surplus  Solve first and second order Unit 3: Differential equations [7 Hrs]

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