sap course 1434121588

Course Code & Number:

MATH 111

Course Title:

Introduction to Calculus of One Variable

Level of Course:

BS

Credits:

(3+0+2) 4 TEDU Credits, 7 ECTS Credits

Catalog Description:

Functions and Their Graphs, Combining Functions, Trigonometry. Concept of Limit, Limit Theorems, Continuity, Limits of Sequences, Exponential and Logarithmic Functions. Derivative, Rules for Differentiation, Chain Rule, Derivatives of Inverse Functions, Implicit Differentiation, Differentials, Related Rates, The Mean Value Theorem, Maxima and Minima of Functions, Graphing, L'Hospital's Rule, Anti-differentiation. Integration, Rules for Integration, The Fundamental Theorem of Calculus, Techniques of Integration.

Pre-requisites & Co-requisites:

Pre-requisites: NONE
Co-requisites: NONE
Grading: 

Quiz - 5%
Homework - 10%
Exam 1 - 15%
Exam 2 - 15%
Exam 3 - 20%
Final - 35%

Year of Study: 
Freshman
Semester: 
Fall
Mode of Delivery: 
Face-to-face
Language of Instruction: 
English
Course Type: 
Compulsary
Required Reading: 
1. Calculus, A Complete Course, 7th Ed. by Adams & Essex.
Extended Description: 

Functions and Their Graphs, Combining Functions, Trigonometry. Concept of Limit, Limit Theorems, Continuity, Limits of Sequences, Exponential and Logarithmic Functions, Derivative, Rules for Differentiation, Chain Rule, Derivatives of Inverse Functions, Implicit Differentiation, Differentials, Related Rates, The Mean Value Theorem, Maxima and Minima of Functions, Graphing, L'Hopital's Rule, Anti-differentiation. Integration, Rules for Integration, The Fundamental Theorem of Calculus, Techniques of Integration.

Computer Usage: 
Online homework via WeBWorK.
Learning Outcomes: 

Upon succesful completion of this course, a student will be able to
1. recall fundamental definitions, notation, conventions and basic principles of mathematical writing,
2. recognize elementary and transcendental functions and their properties,
3. explain the concepts of limit and continuity and continuity implications such as the Intermediate and Extreme Value Theorems,
4. calculate limits, derivatives and definite integrals algebraically, graphically and numerically,
5. use the Mean Value Theorem (MVT) and implications of the MVT on limits, monotonocity, concavity and extrema,
6. solve problems of related rates, optimization, and approximation, etc.,
7. relate indefinite integral and definite integral via the Fundamental Theorem of Calculus,

Planned Learning Activities and Teaching Methods: 
Telling/Explaining
Questioning
Reading
Peer Teaching
Problem Solving
Collaborating
Others
Assessment Methods and Criteria: 
Test / Exam
Quiz/Homework
Others

Student Workload:

Quizzes /Homeworks
60
hrs
Midterm Exam 1
7
hrs
Midterm Exam 2
7
hrs
Final Exam
7
hrs

Prepared By:

Revised By:

teduadmin