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# JUPEB 2021 MATHEMATICS AREAS OF CONCENTRATION/SYLLABUS

## JUPEB mathematics syllabus

JUPEB mathematics syllabus is available for free on our platform for students that need the updated JUPEB syllabus for the 2019/2020 academic session. We understand that for students to fully prepare for the JUPEB exams, they need to cover 90% of the syllabus, so we have made this syllabus available for free to guide students.

### What you should know about JUPEB Mathematics Syllabus.

• JUPEB mathematics syllabus is the same syllabus used in all universities to lecture students and it is prepared by the JUPEB governing board for all partnering and affiliate universities.
• This mathematics syllabus includes every topic you will cover in mathematics to prepare for your exams.
• All topics in MAT 001 (Advanced Pure Mathematics) and MAT 002 (Calculus).
• All topics in MAT 003 (Applied Mathematics) and MAT 004 (Statistics).

GENERAL OBJECTIVES
At the end of the series of courses, candidates should be able to:
1. Identify and solve problems in general algebra which includes set, real
number system, trigonometry, complex numbers, and coordinate geometry
2. Solve problems on calculus which involve the different rules of differentiation
and integration of various functions. Solve problems on ordinary differential
equation of first and second order using different techniques
3. Manipulate the problems in Mechanics through the understanding of vectors,
kinematics of motion, forces, Newtonian laws, inclined plane, motion of
particles In a plane, equilibrium of rigid bodies
4. Evaluate the general analysis of statistical data, deal with random variables
using different probability density functions such as Bernoulli, Binomial,
Geometric and Poisson random variable; and
5. Model data using the Normal Distribution and the use of the Normal standard
tables, Hypothesis testing, Correlation and Regression.

📍FIRST SEMESTER COURSES
MAT 001: ADVANCED PURE MATHEMATICS (3 UNITS)
MATH 002: CALCULUS (3 UNITS)

📍 SECOND SEMESTER COURSES
MAT 003: APPLIED MATHEMATICS (3 UNITS)
MAT 004: STATISTICS (3 UNITS)

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MAT 001: ADVANCED PURE Mathematics (3 UNITS)

Specific Objectives
At the end of course, candidate should be able to:
1. Manipulate in this course, candidates should be able to:
2. Identify and perform operations with number system, sequences and series;
3. Solve problems on circular functions: and
4. Use trigonometric identities and apply the concept of trigonometry in solving
problems

MAT 002: CALCULUS (3 UNITS)

Specific objectives
At the end of this course, candidates should be able to:
1. Solve problems on limits
2. Differentiate various functions including algebraic, logarithmic exponential,
and implicit functions
3. Apply the techniques of differentiation in solving practical problems; and
4. Use the techniques of integration in solving practical problem.

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MAT 003: APPLIED MATHEMATICS (3 UNITS)

Specific objectives
At the end of this course, candidates should be able to:
1. Evaluate the various operations of vectors
2. Solve problems involving motion of vectors in a straight line;
3. State and apply Newton’s laws of motion
4. Solve problems of particle on an inclined plane: and
5. Solve problems of forces in equilibrium and equilibrium of rigid bodies

MAT 004: STATISTICS (3 UNITS)

Specific Objectives
At the end of course, candidates should be able:
1. Analyse data sets using descriptive measure and pictorial analysis
2. Solve problems using probability theory;
3. Evaluate Random variable by apply Probability Density Function and
Probability Distribution Function:
4. Test hypotheses by applying normal distribution, student t, and normal
standard table; and
5. Solve problems on Regression and Correlation
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