Subject Entrance Test (SET) for Nazarbayev University

Fall, 2013

Objective:
1. To prepare for bachelor program
2. To get ready for successful study
3. To extend the necessary mathematical/logical knowledge for the further education

The following topics will be studied during the courses:

Lessons

Quant Part

hours

1-2

Properties of numbers.

  • Main definitions. Even/odd numbers. Properties of real numbers. Prime numbers. Factors and multiples. Least common multiple. Greatest common factor.
  • Complex numbers, properties of complex numbers.
  • Elements of probability theory and basic statistics

4

3

Fractions, decimals.

  • Properties of fractions and decimals. Main property of a fraction.

2

4

Powers, exponents, algebraic expressions.

  • Properties of powers and exponents. Properties of roots.
  • Algebraic expressions. Algebraic identities.

2

5

Equations, inequalities

  • Leaner and quadratic equations, systems of leaner equations.
  • Inequalities.
  • Module equations and Inequalities

2

6

Proportions, presents

  • Properties of proportion. Ratios. Basic types of percentage problems. Percentage change.

2

7-8

Geometry. Points, lines, angles, triangles

  • Basic definitions. Basic properties.
  • Triangles. Types of triangles. Area and perimeter of a triangle.

Geometry. Polygons, solids

  • Basic definitions and properties. Area and perimeter of polygons. Circles and circumferences. Arc and sector.
  • Solid figures. Volumes and surface areas.

4

9-10

Problem solving

  • Rates and distance  problems, average speed, mixed problems
  • Work problems, interest and discount rate problems
  • Profit problems. Counting problems. Geometric problems

4

11-12

Elements of probability theory

  • Probabilities
  • Linear and circle arrangement
  • Combinations, Permutations
4
13

Number Series, Progressions

  • Arithmetic progression
  • Geometric progression
  • Series
  • Taylor and Maclaurin series
2
14-15

Functions

  • Definitions. Domain and range of a function.
  • Elementary functions: Linear function. Quadratic and
  • Polynomial function. Properties and graphs.
4
16

Logarithms

  • Properties of logarithms, equalities, inequalities
  • Logarithmic Function
2
17
  • Trigonometric functions
  • Properties of trigonometric functions
  • Equations
  • Inequalities
2
18
  • Limits
2
19-20
  • Derivatives
  • Differentiation of the functions
  • Differentiation of an inverse function
  • Differentiation of a function defined parametrically.
  • Differentiation of implicit functions.
  • Application of the derivatives
4
21-22

Integrals

  • Definite integrals
  • Indefinite integrals
  • Application of the integrals
4
23

Numerical reasoning

  • Graphics interpretation
2
24 Critical reasoning 2
25

Practices.

  • Real SET problems.
2
 

Please note that: Some additional materials may be added depending on class progress.


Total 50 hours