### Calculus I copy 1

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.

### MMA 100 :Basic Maths Sept-Dec 2019

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.

Lectures
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

cammynaf@maseno.ac.ke

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