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SED124Education2 Unitsintermediate

Mathematics For Integrated Science

This course, Mathematics for Integrated Science, is designed for 200-level B.Ed and B.Sc. (Ed) Integrated Science students. It aims to equip future science teachers with essential higher mathematics knowledge to enhance their understanding and teaching abilities. The course covers algebraic expressions, equations, indices, logarithms, differential calculus, integral calculus, statistics, probability, and trigonometric ratios, providing a solid foundation for effective science instruction.

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60h
Study Time
13
Weeks
5h
Per Week
intermediate
Math Level
Course Keywords
AlgebraCalculusStatisticsProbabilityTrigonometry

Course Overview

Everything you need to know about this course

Course Difficulty

Intermediate Level
Builds on foundational knowledge
65%
intermediate
📊
Math Level
Moderate Math
📖
Learning Type
Theoretical Focus

Course Topics

Key areas covered in this course

1

Algebraic Expressions and Equations

2

Indices and Logarithms

3

Variation

4

Differential Calculus

5

Integral Calculus

6

Data Presentation

7

Measures of Central Location

8

Probability

9

Trigonometric Ratios

10

Trigonometric Identities

Total Topics10 topics

Ready to Start

No specific requirements needed

This course is designed to be accessible to all students. You can start immediately without any prior knowledge or specific preparation.

Assessment Methods

How your progress will be evaluated (2 methods)

Tutor Marked Assignments

Comprehensive evaluation of course material understanding

Written Assessment

Final Examination

Comprehensive evaluation of course material understanding

Computer Based Test

Career Opportunities

Explore the career paths this course opens up for you

Science Teacher

Apply your skills in this growing field

Data Analyst

Apply your skills in this growing field

Statistician

Apply your skills in this growing field

Researcher

Apply your skills in this growing field

Industry Applications

Real-world sectors where you can apply your knowledge

EducationResearchData AnalysisScience and Technology

Study Schedule Beta

A structured 13-week journey through the course content

Week
1

Module 1: Algebra

4h

Unit 1: Algebraic Expressions and Equations

2 study hours
  • •Understand the meanings of algebraic expressions, equations, and inequalities.
  • •Express word problems in algebraic forms.
  • •Study the laws of algebra and apply them to simplify expressions.

Unit 2: Indices and Logarithms

2 study hours
  • •Learn the laws of indices and logarithms.
  • •Practice simplification and calculations using indices and logarithms.
  • •Solve problems involving exponential growth and decay.
Week
2

Module 1: Algebra

2h

Unit 3: Variation

2 study hours
  • •Understand direct, inverse, joint, and partial variations.
  • •Solve problems involving proportionality and relationships between variables.
  • •Apply variation concepts to real-world scenarios.
Week
3

Module 2: Differential Calculus and Integral Calculus

2h

Unit 1: Differential Calculus

2 study hours
  • •Understand the concept of differential coefficients.
  • •Learn the general rule of differentiation.
  • •Find differential coefficients of functions and constants.
Week
4

Module 2: Differential Calculus and Integral Calculus

2h

Unit 2: Integral Calculus

2 study hours
  • •Understand the general rule of integration.
  • •Learn to integrate ordinary functions.
  • •Practice integration techniques with various functions.
Week
5

Module 2: Differential Calculus and Integral Calculus

2h

Unit 3: Some Applications of Differential and Integral Calculus

2 study hours
  • •Apply differential calculus to find gradients of curves.
  • •Apply differential calculus to solve problems involving velocity and acceleration.
  • •Apply integral calculus to find equations of curves and distances.
Week
6

Module 3: Statistics and Probability

2h

Unit 1: Presentation of Data

2 study hours
  • •Learn various methods of data presentation.
  • •Prepare and interpret pictograms, bar charts, pie charts, and frequency polygons.
  • •Collect and collate data for presentation.
Week
7

Module 3: Statistics and Probability

2h

Unit 2: Measures of Central Location

2 study hours
  • •Understand the meaning and calculation of mean, median, and mode.
  • •Calculate measures of central location for different data sets.
  • •Compare and interpret mean, median, and mode.
Week
8

Module 3: Statistics and Probability

2h

Unit 3: Probability

2 study hours
  • •Understand the concepts of experiment, event, and sample space.
  • •Learn addition and multiplication laws of probability.
  • •Calculate simple probabilities for various events.
Week
9

Module 4: Trigonometric Ratios

2h

Unit 1: Trigonometric Ratios

2 study hours
  • •Distinguish between sine, cosine, and tangent of acute angles.
  • •Use trigonometric tables to estimate trigonometric ratios.
  • •Solve triangles using trigonometric ratios.
Week
10

Module 4: Trigonometric Ratios

2h

Unit 1: Trigonometric Ratios

2 study hours
  • •Learn trigonometric ratios of special angles (0°, 30°, 45°, 60°, 90°).
  • •Apply trigonometric ratios to solve problems involving special angles.
  • •Understand the relationships between trigonometric ratios.
Week
11

Module 4: Trigonometric Ratios

2h

Unit 2: Trigonometric Identities

2 study hours
  • •State the relationships between trigonometric ratios that lead to identities.
  • •Define positive and negative angles.
  • •State the sign of trigonometric ratios of acute angles.
Week
12

Module 4: Trigonometric Ratios

2h

Unit 2: Trigonometric Identities

2 study hours
  • •Define trigonometric ratios of obtuse and reflex angles.
  • •Obtain values of trigonometric ratios of obtuse and reflex angles.
  • •Solve trigonometric equations using identities.
Week
13

Final Revision

4h

Final Revision

4 study hours
  • •Review all modules and units.
  • •Work on assignments and tutor-marked assignments.
  • •Prepare for final examinations.

This study schedule is in beta and may not be accurate. Please use it as a guide and consult the course outline for the most accurate information.

Course PDF Material

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Study Tips & Exam Preparation

Expert tips to help you succeed in this course

1

Review all tutor-marked assignments (TMAs) and their solutions to understand common mistakes and reinforce key concepts.

2

Create concept maps linking algebraic expressions, equations, and their applications to problem-solving.

3

Practice differentiation and integration problems from Units 1 and 2 of Module 2 weekly to build fluency.

4

Memorize key trigonometric identities from Unit 2 of Module 4 and practice applying them to simplify expressions.

5

Focus on understanding the underlying principles of statistical measures (mean, median, mode) rather than just memorizing formulas.

6

Allocate specific time slots for revision in the weeks leading up to the exam, focusing on areas of weakness identified through TMAs and self-assessment exercises.

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