Zoologists use calculus, statistics and other mathematics for data analysis and modeling. Mathematical approaches use to explore novel and rewarding problems in zoology (see for instance, https://www.zoo.ox.ac.uk/mathematical-ecology-research-group) and the most notable effect of mathematics on zoology would be on population dynamics. This course is built upon the mathematical concepts, principles and techniques that are useful in almost all undergraduate programs. The main objectives of the course are to enhance student’s competency in application of mathematical concepts in solving problems and to improve their level of quantitative approach. Upon the successful completion of this course students would be able to develop understanding: Mathematical functions, Building and solving linear and quadratic equations, Matrices and Determinants with application, sequences and series, and basic Financial Mathematics. To prepare the students, not majoring in mathematics, with the essential tools of financial, algebra and geometry to apply the concepts and the techniques in their respective disciplines.

*Intended ** Learning Outcomes: *Upon successful completion of the course, a student will be able to:

- Sketch surfaces using cross-sections and trigonometric concepts; apply the geometrical formulas.
- Solve simple linear Equations by using different techniques.
- State the definitions, results and formulae presented in lectures; apply and adapt these to solve suitable problems.
- Take a function with multiple inputs and determine the influence of each of them separately.

*Contents*

- Linear Equations and Quadratic Equations: Formation of Linear equation
- Solving Linear equation involving one variable
- Solution of Quadratic equation by factorization method
- Solution of quadratic equation by square completion methods
- Solution of quadratic equation by quadratic formula
- Application of quadratic equation
- Sequences and Series
- Matrices and Determinants: Introduction of matrices
- Types of matrices
- Matrix operations
- Inverse of matrix
- The determinants and its properties
- Solution of system of linear equations by determinants: Cramer’s rule, Inverse Matrices Method
- Mathematics of Finance: Simple interest
- Compound interest
- Annuities
- Sets and Sets Operations
- Permutation and combinations
- Introduction to mathematical induction and binomial theorem
- Basic Concepts of Trigonometry
- Fundamental Identities of Trigonometry

*Recommended Books*

- Frank, S. B. (1993). Applied mathematics for business, economics, and the social sciences (4 th ed.). New York: McGraw-Hill publisher.
- Nauman, K. (2019). Basic mathematics-I: algebra and trigonometry (2 nd ed.). Lahore: Al-Hassan Pub.

*Suggested Books*

- Kaufmann, J. E. (1994). College algebra and trigonometry (3 th ed.). Boston: PWS-Kent Pub. Co.
- Swokowski, E. W. (1993). Fundamentals of algebra and trigonometry (8 th ed.). Boston: PWS-Kent Pub. Co.

**RESEARCH PROJECT /PRACTICALS/LABS/ASSIGNMENTS**

Research project/assignment based on introduction to mathematics often involve features which require their solutions can be awarded to students during their course work period. Examples of features are

- Accelerating and motivating interest to develop logic based on mathematics.
- Finding applications and implementing by softwares like Maple
- Improving existing techniques

**Assessment Criteria**

- Sessional: 20 (Presentation / Assignment 10, Attendance 05, Quiz 05)
- Mid-Term Exam: 30 (or Term Paper)
- Final-Term Exam: 50 (or Viva + online)

*Key Dates and Time of Class Meeting*

Monday/Tuesday/Wednesday 10:00 -11:00

Commencement of Classes November 02, 2020

Mid Term Examination December 14-18, 2020

Final Term Examination February 08-12, 2021

Declaration of Result February 19, 2021