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MTH232 Sciences 3 Units intermediate

Elementary Differential Equations I

This course introduces students to elementary differential equations, covering basic concepts, definitions, and solution methods. It explores ordinary, partial, and total differential equations, including order, degree, and linearity. Students will learn to solve first-order equations using separation of variables, homogeneous equations, and integrating factors. The course also covers applications in mechanics, electricity, population modeling, and Newton's law of cooling.

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156h
Study Time
13
Weeks
12h
Per Week
intermediate
Math Level
Course Keywords
Differential EquationsOrdinary EquationsPartial EquationsHomogeneous EquationsIntegrating Factors

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

Ordinary Differential Equations

2

Partial Differential Equations

3

Separable Equations

4

Homogeneous Equations

5

Exact Equations

6

Linear Equations

7

Integrating Factors

8

Orthogonal Trajectories

9

Method of Undetermined Coefficients

10

Method of Variation of Parameters

Total Topics10 topics

Requirements

Knowledge and skills recommended for success

MTH112: Differential Calculus

MTH122: Integral Calculus

💡 Don't have all requirements? Don't worry! Many students successfully complete this course with basic preparation and dedication.

Assessment Methods

How your progress will be evaluated (3 methods)

assignments

Comprehensive evaluation of course material understanding

Written Assessment

tutor-marked assessments

Comprehensive evaluation of course material understanding

Written Assessment

final examination

Comprehensive evaluation of course material understanding

Computer Based Test

Career Opportunities

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Applied Mathematician

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Statistician

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Data Scientist

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Financial Analyst

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Operations Research Analyst

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Industry Applications

Real-world sectors where you can apply your knowledge

EngineeringPhysicsEconomicsComputer ScienceData Analysis

Course PDF Material

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Study Tips & Exam Preparation

Expert tips to help you succeed in this course

1

Review all definitions and theorems related to different types of differential equations.

2

Practice solving a variety of problems from each unit, focusing on techniques for separable, homogeneous, and exact equations.

3

Create a formula sheet summarizing key integration techniques and solution methods for quick reference during the exam.

4

Work through past exam papers to familiarize yourself with the exam format and common question types.

5

Focus on understanding the applications of differential equations in mechanics, electricity, and other physical contexts, as these are often tested in exams.

6

Allocate time to review and practice problems related to orthogonal trajectories and their applications.

7

Create concept maps linking Modules 1-3 differential equation concepts

8

Practice solving problems from Units 4-6 weekly

9

Review all TMAs