Elementary Mathematics II
- Sciences
- 100 level
- 3 credit units
- 139 pages
- 6 units
This course introduces differential and integral calculus, demonstrating their application in contemporary business, technology, and science. It equips learners with essential mathematical skills for science and engineering, emphasizing the use of mathematical techniques to solve real-world problems. Learners will integrate mathematical models in sciences and engineering, enhancing their proficiency in calculus and its practical applications.
About this course
- Difficulty
- Intermediate
- Study hours
- 91 hours
- Maths
- Advanced
- Content
- Theoretical, problem solving
- Practical work
- No
- MTH101 - Elementary Mathematics I
- Tutor Mark Assignments
- Final Examination
What you'll read
The real module and unit structure of MTH102, taken from the course material NOUN publishes.
One paragraph, so you can see how it reads
MTH102 · Unit 2: LIMITS
A function f establishes a set of ordered pairs (�, �) of real numbers. The plot ofthese pairs (�, �(�)) in a coordinate system is the graph of �. The result can be thought of as a pictorial representation of the function.
What you should be able to do
- Apply calculus to solve problems in science and engineering.
- Evaluate limits and determine continuity of functions.
- Compute derivatives using various differentiation techniques.
- Apply integration techniques to find areas and volumes.
- Model real-world phenomena using calculus concepts.
What it prepares you for
- Engineer
- Data Analyst
- Financial Analyst
- Statistician
- Applied Mathematician
- Engineering
- Finance
- Data Science
- Physics
- Computer Science
Where it gets hard
The units students slow down on, and what makes each one heavy.
- MODULE 2: CALCULUS OF DIFFERENTIATION
Unit 2: Differentiation Technique
Differentiation techniques require a solid understanding of algebraic manipulation and limit concepts, which can be challenging for students with weaker mathematical backgrounds.
- MODULE 3: CALCULUS OF INTEGRATION
Unit 1: Integration
Integration by partial fractions involves complex algebraic manipulations and requires proficiency in recognizing different types of rational functions.
A suggested way through it
13 weeks, about 91 hours in total. Yours will differ.
- Week 1MODULE 1: FUNCTIONS
Unit 1: Function and Graphs · 7 hours
Read the course guide.. Familiarize yourself with course objectives and assessment methods.. Understand the course structure and learning outcomes..
- Week 2MODULE 1: FUNCTIONS
Unit 1: Function and Graphs · 7 hours
Define functions and graphs.. Describe the concept of graphs.. Solve problems related to functions and graphs.. Study different types of functions (polynomial, algebraic, transcendental)..
- Week 3MODULE 1: FUNCTIONS
Unit 2: Limits · 7 hours
Define the limit of functions.. Describe the concept of limit of functions.. Solve problems related to the limit of functions.. Understand right-hand and left-hand limits and theorems on limits..
- Week 4MODULE 1: FUNCTIONS
Unit 3: Idea of Continuity · 7 hours
Define continuity of functions.. State continuity properties conditions.. Define continuity of polynomial and rational functions.. Study theorems on continuity and piecewise continuity..
- Week 5MODULE 2: CALCULUS OF DIFFERENTIATION
Unit 1: The Derivative as Limit of Rate of Change · 7 hours
Define rate of change of function.. Solve differentiation from first principle.. Solve differentiation from second principle.. Understand right-hand and left-hand derivatives and differentiability in an interval..
- Week 6MODULE 2: CALCULUS OF DIFFERENTIATION
Unit 2: Differentiation Technique · 7 hours
Construct product of function.. Solve problems on quotient of functions.. Develop and solve implicit functions.. Carry out solution on function of functions..
- Week 7MODULE 2: CALCULUS OF DIFFERENTIATION
Unit 2: Differentiation Technique · 7 hours
Continue working on differentiation techniques.. Practice solving more complex problems.. Review and consolidate understanding of different differentiation rules..
- Week 8MODULE 2: CALCULUS OF DIFFERENTIATION
Unit 2: Differentiation Technique · 7 hours
Complete differentiation techniques.. Focus on mastering implicit functions and function of functions.. Prepare for self-assessment exercises..
- Week 9MODULE 3: CALCULUS OF INTEGRATION
Unit 1: Integration · 7 hours
Describe the calculus integration of function.. Apply basic integral theorem to functions.. Evaluate change of variable in integration.. Study properties of definite integrals and mean value theorems for integrals..
- Week 10MODULE 3: CALCULUS OF INTEGRATION
Unit 1: Integration · 7 hours
Continue working on integration techniques.. Focus on standard integrals and methods of integration.. Practice solving more complex integration problems..
- Week 11MODULE 3: CALCULUS OF INTEGRATION
Unit 1: Integration · 7 hours
Complete integration techniques.. Focus on integrals of special functions and integration by partial fraction.. Prepare for self-assessment exercises..
- Week 12MODULE 3: CALCULUS OF INTEGRATION
Unit 2: Volume of Solids of Revolution by Definite Integral · 7 hours
Find the arc length under integration.. Determine the volume of solid revolution.. Evaluate the volume of a sphere, spherical and cone.. Study disk method and shell method for volumes of revolution..
- Week 13MODULE 3: CALCULUS OF INTEGRATION
Unit 2: Volume of Solids of Revolution by Definite Integral · 7 hours
Complete volume of solids of revolution.. Focus on solving problems related to sphere, spherical segment, and cone.. Review all module contents and prepare for final revision..
Preparing for the exam
- Review all definitions and theorems from each unit.
- Practice solving a variety of problems from the self-assessment exercises.
- Focus on understanding the underlying concepts rather than memorizing formulas.
- Create concept maps linking differentiation and integration techniques.
- Allocate sufficient time for revision and practice before the exam.
Questions students ask about this course
What is MTH102 about?
This course introduces differential and integral calculus, demonstrating their application in contemporary business, technology, and science. It equips learners with essential mathematical skills for science and engineering, emphasizing the use of mathematical techniques to solve real-world problems. Learners will integrate mathematical models in sciences and engineering, enhancing their proficiency in calculus and its practical applications.
How many units does MTH102 have?
MTH102, Elementary Mathematics II, has 6 units across 3 modules, over 139 pages of course material. You can read it one unit at a time.
How many credit units is MTH102?
MTH102 carries 3 credit units, at 100 level in Sciences.
Is MTH102 hard?
MTH102 is rated intermediate level, with advanced mathematical content. It is mostly theoretical and problem solving work.
How long does MTH102 take to study?
About 91 hours of study, spread across its 6 units.
How is MTH102 assessed?
MTH102 is assessed by Tutor Mark Assignments and Final Examination.
What do I need before starting MTH102?
MTH101 - Elementary Mathematics I
What can I do with MTH102?
Engineer, Data Analyst, Financial Analyst, Statistician and Applied Mathematician.