Description 

Mathematics-1 is widely used in every engineering fields. Several examples of applications of mathematics in mechanical, chemical, and electrical engineering are discussed. Applications used here are the real ones found in the engineering fields. The purpose of these applications is to relate mathematics to engineering subject. Many engineering students find it difficult to solve engineering problems which need mathematics a lot. It is hoped that through examples given, engineering students can be motivated to understand their engineering problems better. Also it is expected that mathematics lecturers can be encouraged to provide mathematical concepts or problems which are more related to engineering fields.

Mathematics-1is the study of continuous change. If quantities are continually changing, we need to study what is going on. Mathematics-1 is concerned with comparing quantities which vary in a non-linear way. It is used extensively in science and engineering, since many of the things we are studying (like velocity, acceleration, current in a circuit) do not behave in a simple, linear fashion. It has two major parts, differentiation and integration; the former concerns instantaneous rates of change, and the slopes of curves, while integral calculus concerns accumulation of quantities, and areas under or between curves. It focus on the study of functions of a single variable. Applications of differential calculus include computations involving velocity and acceleration, the slpope of a curve, and optimization.

Intended Learning Outcomes

After completing this course, student should be able to:

• determine the domains and range of various common functions
• understand the concept of limit and continuityof a single variable function
• apply differentiation rules
• finf the maxima and minima of a function on its graph
• apply the techniques of initigration
• introduce parameterizations of curves 
• introduce particle motion concepts (e.g. velocity and acceleration)
• introduce arc length and curvature.
• develop fundamental skills on complex variable analysis 

Course Contents

• Functions of one variable, limits and continuity, differentiation of function of one variable
• Properties of differentiable functions, differentials and linear approximation
• Maxima, minima and curvature
• Applied Optimization problems of functions of one variable
• Indefinite integrals and techniques of integration
• Definite Integrals and fundamental theorem of calculus
• Applications of definite integrals
• Polar coordinated and Polar curves
• Parametric functions and curves, conic sections and their parametric representations
• Properties of famous plane curves
• Algebra of complex numbers and some applications of complex numbers
•  

Recommended Books

• G. B. Thomas Jr., M. D. Weir, J. R. Hass, "Thomas Calculus - Early Transcedentals", Pearson, 13th edition, (2013).
• G. B. Thomas, Jr.,M. D.Weir, J. R. Hass, "Thomas Calculus", Pearson, 12th Edition, (2002).
•  J. Stewart, "Calculus Early: Transcendentals", 6th edition, (2008).
• E. Kreyszig, "Advanced Engineering Mathematics", 10th edition, Wiley, (2011)

System of Evaluation

Sessional: 20 (Presentation  15, Attendance 05, )

Mid-Term Exam:  30 (Multiple choice questions)

Final-Term Exam: 50 (Multiple choice questions)

Key Dates and Time of Class Meeting

 Class                                       BSc Electrical Engineering (1st Semester) (R)

Monday                                     08:00 AM- 09:30 AM 

Tuesday                                    08:00 AM- 09:30 AM

Commencement of Classes      October 26, 2020

Mid Term Examination               December 28, 2020 - January 01, 2021

Final Term Examination             March 01 - 05, 2021

Declaration of Result                 March 12, 2021