MTH102-S2-2019/20 – ELEMENTARY MATHEMATICS III
Email: [email protected]
Class Hours: 3hrs
Virtual Classroom: hostclass.courses
Office: Faculty of Science, Mathematics Departmental block, room 4.
Office Hour: 4pm-5pm
Instructor: EGBUHUZOR Udechukwu P.
Prerequisite – MTH 103
Functions of a real variable: Concept of functions and their domains and ranges; graphs, limit and continuity of functions; continuity of trigonometric and inverse trigonometric functions.
Differentiation: Tangent problem: Definition of the derivative (First principle); techniques of differentiation; higher derivatives (with applications such as rates of change, small change and error analysis, related rates, curvature, optimal dimensions, etc.)
Integration: Area problem: Integration as the inverse of differentiation; techniques of integration; definite and indefinite integrals (with applications to areas between curves, volumes, arc length, etc.)
Curve Sketching: Use of Calculus to sketch simple curves.
Differential equations: Introduction to First order differential equations only.
Calculus: Early Transcendental Single and Multivariable, 8th Edition, Howard Anton, Irl Bivens, Stephen Davis, John Wiley & Sons, Inc, 2005, ISBN: 0-471-47244-1
Look through the texts and try your hands on some of the exercises. Engage in solving the numerous exercises and kindly submit your work on or before the required time.
Assignments and Examination
There will be two assignments and one virtual examination at the end of the semester. The final exam will be cumulative. Assignments would be submitted electronically and within the stipulated time. Extension will not be accepted except on some special consideration duly given by Egbuhuzor Udechukwu
The following grading scale will be used:
- 5% of your score shall be based on your virtual classroom attendance
- 10% shall be based on homework
- 15% shall be based on assignment and participation
- 70% shall be based on examination
The final grade would be based on your total grade percentage.
I expect you to participate in all class activities as listed on the course calendar. Participation includes, but is not limited to, the following:
- Completing all class assignments on time
- Actively engaging in class discussions
- Asking thoughtful questions during zoom class
- Proactively seeking guidance from the instructor when needed
Attendance is expected in all virtual classes. Valid excuses for absence will be accepted before class. In extenuating circumstances, valid excuses with proof will be accepted after class. Late submissions of homework will be granted for no penalty if a valid excuse is communicated to the instructor before the due date. After the due date, late submission will be granted for a 50% deduction to the score up to 2 days. After this no late submission will be granted.
Schedule and Weekly Learning Goals
The schedule is tentative and subject to change. The learning goals below should be viewed as the key concepts you should grasp after each week, and also as a study guide before each exam, and at the end of the semester. Each exam will test on the material that was taught up until the week of the exam. The applications in the second half of the semester tend to build on the concepts in the ﬁrst half of the semester though, so it is still important to at least review those concepts throughout the semester.
Week 01: Functions of a real variable:
- Lecture 1: Concept of functions and their domains and ranges; graphs,
- Lecture 2: limit and continuity of functions
- Lecture 1: continuity of trigonometric and inverse trigonometric functions.
Week 03: Differentiation:
- Lecture 1: Tangent problem: Definition of the derivative (First principle)
- Lecture 1: techniques of differentiation;
- Lecture 1: higher derivatives (with applications such as rates of change, small change and error analysis, related rates, curvature, optimal dimensions, etc.)
Week 06: Integration:
- Lecture 1: Area problem: Integration as the inverse of differentiation
- Lecture 1: techniques of integration;
- Lecture 1: definite and indefinite integrals
- Lecture 1: definite and indefinite integrals (with applications to areas between curves, volumes, arc length, etc.
Week 10: Curve Sketching:
- Lecture 1: Use of Calculus to sketch simple curves
- Lecture 2: Differential equations: Introduction to First order differential equations only.
Week 11: Examination
- Lectures 10
- Quizzes 0
- Duration 50 hours
- Skill level 100 levels
- Language English
- Students 6
- Assessments Yes
View Course Contents (Lecture Notes and Videos)