This is an introductory course to Calculus first implemented for Maseno University, Kenya in 2019 for their Calculus I course. 

The assessment for the course is 10 weekly mastery and test quizzes. The questions were almost entirely developed using STACK for automated feedback. Most questions include a randomised component.

The course refers to the open e-book Calculus I by Paul Dawkins.

Welcome to the MMA - 100 Basic Mathematics Course, this is a multidisciplinary course that provides an introduction to the most important parts of mathematics needed at the University. It covers fundamental mathematical concepts, useful to students in a wide range of discipline areas, including, teaching, arts, business, science, applied science and engineering

Course Description

Sequences and Series: Arithmetic and geometric sequences and series.  Systems of linear equations: Methods of solution. Sets:  operation on set,  Venn diagrams. Trigonometric functions, their graphs and inverses; conversions from degrees to radians and vice versa;  Addition, multiple angle and sectors formulae;  Trigonometric identities and equations; Sine and Cosine rules;  Standard trigonometric formulae.Algebra:  Surds, Logarithms and Indices, equations and inequalities. Remainder theorem and its applications. Factor theorem and its applications.  Permutations and combinations. Binomial theorem and its geometric representations. Complex numbers: Modulus, Arguments, de Moivre’s theorem and applications, Roots of complex numbers. Hyperbolic functions:  Properties, Graphs.

  1. Mathematics Programs Students
  •   Venue: NL 5 7-9 am  (Tuesday)

                      LH 15 7-8 am (Wednesday)

       2. Education/ Other Sciences/ Art Programs Students

  •   Venue: LH 5 7-9 am  (Tuesday)

                      LH 15 7-8 am (Wednesday)

Course Lecturer:  Dr. C. Nafula


Recommended reference materials 

  1. A. J. Sadler and D. W. S. Thorning, Understanding Pure Mathematics, Oxford University Press, 1987
  2. L. Gilbert and J. Gilbert, College Algebra with Trigonometry, McGraw-Hill Inc., 1994.
  3. R. Smedley and G. Wiseman, Introducing Pure Mathematics, Oxford University Press, 2001.
  4. M. R. Spiegel and R. E. Moyer, Schaum’s Outline of College Algebra, McGraw-Hill Education,  2014.
  5. B. Gautler and M. Gautler, Further Pure Mathematics,  Oxford University Press, 2001.

N.B - There are more online reference materials will be given on each topic of study. i.e. Week 1 here which is on SETs and SETs operations has stated the specific references attached to it with their web links.


Course assessment

The course will be assessed in two parts:

  • Coursework (continuous assessment tests) which will normally contribute 30% of the

total mark. 

  • Written end of semester examination shall normally contribute 70% of the total mark.


Thank you