Mathematics For Integrated Science
- Education
- 100 level
- 2 credit units
- 49 pages
- 8 units
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.
About this course
- Difficulty
- Intermediate
- Study hours
- 60 hours
- Maths
- Intermediate
- Content
- Theoretical, problem solving
- Practical work
- No
- Tutor Marked Assignments
- Final Examination
What you'll read
The real module and unit structure of SED124, taken from the course material NOUN publishes.
One paragraph, so you can see how it reads
SED124 · Unit 1 Algebraic Expressions and Equations
Algebraic expressions, equations and inequalities are very important to mathematics, science and technology. Scientific discoveries and relationship between quantities or variables are mostly expressed in the forms of algebraic equations or inequalities. It is therefore important to understand the meaning of some methods of simplifying and solving of algebraic expressions, equations and inequalities.
What you should be able to do
- Solve algebraic equations and simplify expressions.
- Apply differential and integral calculus to solve problems.
- Present and interpret data using various methods.
- Calculate and interpret measures of central location.
- Calculate simple probabilities.
- Apply trigonometric ratios and identities to solve problems.
What it prepares you for
- Science Teacher
- Data Analyst
- Statistician
- Researcher
- Education
- Research
- Data Analysis
- Science and Technology
Where it gets hard
The units students slow down on, and what makes each one heavy.
- Module 2: Differential Calculus and Integral Calculus
Unit 1: Differential Calculus
Requires a strong understanding of limits and the concept of infinitesimals, which can be challenging for students without a solid foundation in pre-calculus.
- Module 2: Differential Calculus and Integral Calculus
Unit 2: Integral Calculus
Understanding the reverse process of differentiation and applying it to various functions requires practice and a good grasp of algebraic manipulation.
- Module 4: Trigonometric Ratios
Unit 2: Trigonometric Identities
Memorizing and applying trigonometric identities to simplify expressions and solve equations requires a strong understanding of the relationships between trigonometric functions.
A suggested way through it
13 weeks, about 30 hours in total. Yours will differ.
- Week 1Module 1: Algebra
Unit 1: Algebraic Expressions and Equations · 2 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 hours
Learn the laws of indices and logarithms.. Practice simplification and calculations using indices and logarithms.. Solve problems involving exponential growth and decay..
- Week 2Module 1: Algebra
Unit 3: Variation · 2 hours
Understand direct, inverse, joint, and partial variations.. Solve problems involving proportionality and relationships between variables.. Apply variation concepts to real-world scenarios..
- Week 3Module 2: Differential Calculus and Integral Calculus
Unit 1: Differential Calculus · 2 hours
Understand the concept of differential coefficients.. Learn the general rule of differentiation.. Find differential coefficients of functions and constants..
- Week 4Module 2: Differential Calculus and Integral Calculus
Unit 2: Integral Calculus · 2 hours
Understand the general rule of integration.. Learn to integrate ordinary functions.. Practice integration techniques with various functions..
- Week 5Module 2: Differential Calculus and Integral Calculus
Unit 3: Some Applications of Differential and Integral Calculus · 2 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 6Module 3: Statistics and Probability
Unit 1: Presentation of Data · 2 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 7Module 3: Statistics and Probability
Unit 2: Measures of Central Location · 2 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 8Module 3: Statistics and Probability
Unit 3: Probability · 2 hours
Understand the concepts of experiment, event, and sample space.. Learn addition and multiplication laws of probability.. Calculate simple probabilities for various events..
- Week 9Module 4: Trigonometric Ratios
Unit 1: Trigonometric Ratios · 2 hours
Distinguish between sine, cosine, and tangent of acute angles.. Use trigonometric tables to estimate trigonometric ratios.. Solve triangles using trigonometric ratios..
- Week 10Module 4: Trigonometric Ratios
Unit 1: Trigonometric Ratios · 2 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 11Module 4: Trigonometric Ratios
Unit 2: Trigonometric Identities · 2 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 12Module 4: Trigonometric Ratios
Unit 2: Trigonometric Identities · 2 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 13Final Revision
Final Revision · 4 hours
Review all modules and units.. Work on assignments and tutor-marked assignments.. Prepare for final examinations..
Preparing for the exam
- Review all tutor-marked assignments (TMAs) and their solutions to understand common mistakes and reinforce key concepts.
- Create concept maps linking algebraic expressions, equations, and their applications to problem-solving.
- Practice differentiation and integration problems from Units 1 and 2 of Module 2 weekly to build fluency.
- Memorize key trigonometric identities from Unit 2 of Module 4 and practice applying them to simplify expressions.
- Focus on understanding the underlying principles of statistical measures (mean, median, mode) rather than just memorizing formulas.
- 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.
Questions students ask about this course
What is SED124 about?
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.
How many units does SED124 have?
SED124, Mathematics For Integrated Science, has 8 units across 4 modules, over 49 pages of course material. You can read it one unit at a time.
How many credit units is SED124?
SED124 carries 2 credit units, at 100 level in Education.
Is SED124 hard?
SED124 is rated intermediate level, with intermediate mathematical content. It is mostly theoretical and problem solving work.
How long does SED124 take to study?
About 60 hours of study, spread across its 8 units.
How is SED124 assessed?
SED124 is assessed by Tutor Marked Assignments and Final Examination.
What can I do with SED124?
Science Teacher, Data Analyst, Statistician and Researcher.