SU LMS

Course Code: MATH-5121

Credit hours: 03

Learning Objectives:

Students can perform algebraic, geometric and technological operations required for success in calculus.
Students understand fundamental concepts of integral calculus and infinite series.
Students develop and improve analytical thinking for problem solving, both manual and using technology.
Students develop a skill-set necessary for success in mathematics (Calculus III in particular) and in disciplines which rely on mathematics.
Students can communicate mathematics effectively, with proper notation and terminology

Course objectives.

Applications of Integration: Areas between curves; volumes of revolution; arclength and surface area.
Techniques of Integration: Integration by parts; trigonometric integrals; trigonometric substitutions; integration of rational functions by partial fractions; numerical integration; improper integrals.
Differential Equations: Basic modeling and separable equations.
Sequences and Series: Divergence and integral tests; comparison tests; alternating series; ratio and root tests.
Power Series: Power series and their properties; representations of functions as power series; Taylor series and Taylor polynomials.
Parametric Equations and Polar Coordinates: Parametric curves and their calculus; polar coordinates and polar curves.

Recommended Books:

Calculus for Business, Economics, and the Social and Life Sciences. 10th Edition, LAURENCE D. HOFFMANN * GERALD L. BRADLEY
Calculus , 11th Edition by Thomas and Finney

Assessment Criteria:

Sessional: 20

Mid-Term Exam: 30

Final-Term Exam: 50

Key Dates and Time of Class Meeting:

Program: BS Physics

Class: 2nd Semester(S.S)

Commencement of Classes March 15, 2021 (Monday)

Mid Term Examination May 17 to 21, 2021 (Monday to Friday)

Final Term Examination July 12 to 16, 2021 (Monday to Friday)

Declaration of Result July 27, 2021 (Friday)

Techniques of Integration