Credit Hours - 3

This is a course which highlights the interplay of algebra and geometry.  It includes topics such as: polar coordinates; conic sections. Complex numbers, Argand diagram, DeMoivre's theorem, roots of unity. Algebra of matrices and determinants, linear transformations. Transformations of the complex plane.  Sketching polar curves and some coordinate geometry in 3 dimensions. Vector product and triple products. 

Reading List:

• Beacher, J., Penna, J. A., &  Bittinger, M. L. (2005). College Algebra (2nd Edition). Addison Wesley
• Copeland, A. H. (1962). Geometry, algebra and trigonometry by vector methods. Mac-Millan
• Safler, F. (2012). Schaum's Outline of Precalculus (3rd Edition). McGraw-Hill Education
• Spiegel, M.R., & Moyer, R.E. (2014).  Schaum's Outline of College Algebra (4th Edition). 
• McGraw-Hill Education

Credit Hours - 3

Elementary idea of limit, continuity and derivative of a function. Rules of differentiation. Applications of differentiation. Derivative of the elementary and transcendental functions. Methods of integration. Improper integrals. Applications of integration. Formation of differential equations and solution of first order differential equations both separable variable type and using an integrating factor.

Reading List:

• Hughes-Hallett, D., Gleason A.M., et al (1994).  Calculus. A. J. Wiley.
• Kline, M. (1998). Calculus: An Intuitive and Physical Approach (2nd Edition). Dover.
• Lang, S. (1998). A First Course in Calculus (Undergraduate texts). Springer.
• Stewart, J. (1995). Calculus, concepts and context. Brooks/Cole 
• Thomas, G.B., & Finney, R.L. (1995). Calculus and Analytic Geometry. Addison Wesley Publishing Company

Credit Hours - 3

Vectors may be used very neatly to prove several theorems of geometry. This course is about applying vector operations and the method of mathematical proof (of MATH 121) to geometric problems. The areas of study include: vector operations with geometric examples; components of a vector and the scalar product of vectors. Coordinate geometry in the plane including normal vector to a line, angle between intersecting lines, reflection in a line, angle bisectors and the equation of a circle, the tangent and the normal at a point.

Reading List:

• Akyeampong, D.A., (2006). Vectors and Geometry. Departmental Lecture notes.
• Backhouse, J.K., Houldsworth, S.P.T.,  & Horril, P.J.F. (2010). Pure Mathematics. Longman 
• Bostock, L., Chandler. S., & Thorpes, S. (2014). Further Pure Mathematics. Oxford University Press.
• Robinson, G. B. (2011). Vector geometry. Dover. 
• Schuster, S. (2008). Elementary Vector Geometry. Dover.

Credit Hours - 3

This course is a precalculus course which aims to develop the students’ ability to think logically, use sound mathematical reasoning and understand the geometry in algebra. It includes advanced levels of topics addressed in high school such as arrangements, selections and the binomial theorem. Sequences and series. Logic and Proof.  Set theory. Indices, logarithms and the algebra of surds. Concept of a function. Trigonometric functions, their inverses, their graphs, circular measure and trigonometric identities. 

Reading List:

• Backhouse, J.K., Houldsworth, S.P.T., & Cooper B.E.D. (2010). Pure Mathematics 2, Longman.
• Bittinger, M. L. et al (2012) Algebra and Trigonometry (5th edition). Pearson