### Bio-Mathematics (MATH-6151)

Description and Objective:

Calculus is the mathematical study of continuous change. It has two major branches, differential calculus and integral calculus. Both branches make use of fundamental notions convergence of infinite sequences and infinite series to a well-defined limit. A course in calculus is a gateway to other more advance courses in mathematics devoted to the study of functions and limits, broadly called mathematical anakysis. Calculus is used in every branch of physical sciences, computer science, medical, demography, and in other fields. It allows one to go from rate of change to the total change or vice verca, and many times in studying a problem we know one and trying to find the other. This course aims to provide students to essential concepts of biomathematics and how these can be employed for analyzing real data.

Pre requisite:

None

Learning Outcomes:

Upon successful completion of this course, students will be able to:

Compute limits, derivatives and integrals. Analyze functions using limits, derivatives and integrals. Recognize the appropriate tools of calculus to solve applied problems.

Course outline:

1. Real number line, functions and their graphs, solution of equations involving absolute values, inequalities.
2. Limits and Continuity: Limits of a function, left hand and right hand limits, continuity, contimuous functions.
3. Derivatives and their applications: Differentiable functions, differentiation of polynomial, rational and transcendental functions, derivatives.
4. Integration and Definite integrals: Techniques of evaluating indefinite integrals, integration by substitution, integration by parts, change of variables in indefinite integrals.
5. Application and importance of calculus for biotechnology, the exponential growth curve and growth equation.

Recommended books:

1. Calculus and Analytic Geometry, Punjab Curriculum and Textbook Board, Lahore.
2. Thomas, G.B. and Finney, A.R. 2005, Calculus. Addison-Wesley, Reading, USA.

Assessment Criteria:

Sessional: 20 (Presentation / Assignment 10, Attendance 05, Quiz 05)

Mid-Term Exam:   30

Final-Term Exam: 50

Key Dates and Time of Class Meeting:

Monday                                                    11:00 AM-12:00 PM (Regular)

Tuesday                                                   11:00 AM-12:00 PM (Regular)

03:00 PM-04:00 PM (Self-support)

Wednesday                                              02:00 PM-03:00 PM (Self-support)

Thursday                                                  11:00 AM-12:00 PM (Regular)

02:00 PM-03:00 PM (Self-support)

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)