Limits, compound interest, continuity. Derivative and rules of differentiation. Exponential and logarithmic functions. Extremal values, trends, elasticity of demands. Linear programming and multiple optimum solutions. Simplex method and optimization. Applications to compound interest, present value, annuities, amortization of loans. Applications to modeling in economics and business. Introduction to probability and statistics.
Vertical Tabs
Course Learning Outcomes
Learning Outcomes 
Teaching Methods 
Assessment Methods 
1) Learns the foundational notions of Calculus: limit and continuity. 
1 
A 
2) Learns the notion of derivative through limit, learns properties of derivation and the chain rule. 
1 
A 
3) Learns implicit differentiation. 
1 
A 
4) Learns sketching of curves in cartesian coordinates, can do extremum calculations. Learns the notion of concavity. Learns: 1st derivative test, 2nd derivative test and the applications of the notions maxima and minima 
1 
A 
5) Solves compound interest questions and learns the notion of present value. 
1 
A 
6) Learns basic counting techniques and can do elemantary probability and statistical calculations. 
1 
A 
Course Flow
Week 
Topics 
Study Materials 
1 
Chapter 10: Limit and Continuity Limits 
10.1, 10.2 
2 
Continuity 
10.3 
3 
Chapter 11: Differentiation The Derivative, Rules of Differentiation 
11.1, 11.2 
4 
The product rule and the Quetient rule, The chain rule 
11.4, 11.5 
5 
Chapter 4: Exponential and Logarithmic Functions Exponential Functions, Logarithmic Functions 
4.1, 4.2 
6 
Properties of Logarithms, Logarithmic and Exponential Equations 
4.3, 4.4 
7 
Chapter 12: Additional Differentiation Topics Derivative of logarithmic functions, Derivatives of Exponential Functions 
12.1, 12.2 
8 
Implicit Differentiation, Logarithmic Differentiation 
12.4, 12.5 
9 
Chapter 13: Curve Sketching Relative Extreme Absolute Extrema on Closed Interval, Concavity 
13.1, 13.2, 13.3 
10 
The Second Derivative Test, Asymptotes, Applied Maxima and Minima 
13.4, 13.5, 13.6 
11 
Chapter 5: Mathematics of Finance Compound Interest, Present Value 
5.1, 5.2, 5.4 
12 
Interest Compounded Continuously 
5.3

13 
Chapter 8: Introduction to Probability and Statistics Basic Counting Principle and Permutations, Combinations and Other Counting Principles 
8.1, 8.2 
14 
Sample Spaces and Events, Probability 
8.3, 8.4 
Recommended Sources
Textbook 
Introductory Mathematical Analysis, 13th Edition by Ernest Haeussler, Richard S. Paul, Richard Wood, Pearson Prentice Hall 
Additional Resources 

Material Sharing
Documents  
Assignments  
Exams 
Assessment
INTERM STUDIES 
NUMBER 
PERCENTAGE 
Midterms 
1 
100 
Quizzes 


Assignments 


Total 

100 
CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE 

60 
CONTRIBUTION OF INTERM STUDIES TO OVERALL GRADE 

40 
Total 

100 
COURSE CATEGORY 

Course’s Contribution to Program
No 
Program Learning Outcomes 
Contribution 

1 
2 
3 
4 
5 


1 
The ability to make computation on the basic topics of mathematics such as limit, derivative, integral, logic, linear algebra and discrete mathematics which provide a basis for the fundamenral research fields in mathematics (i.e., analysis, algebra, differential equations and geometry) 






2 
Acquiring fundamental knowledge on fundamental research fields in mathematics 






3 
Ability form and interpret the relations between research topics in mathematics 






4 
Ability to define, formulate and solve mathmatical problems 






5 
Consciousness of professional ethics and responsibilty 






6 
Ability to communicate actively 






7 
Ability of selfdevelopment in fields of interest 






8 
Ability to learn, choose and use necessary information technologies 






9 
Lifelong education 






ECTS
ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION 

Activities 
Quantity 
Duration 
Total 
Course Duration (14x Total course hours) 
14 
3 
42 
Hours for offtheclassroom study (Prestudy, practice) 
14 
4 
56 
Midterms (Including self study) 
1 
12 
12 
Final examination (Including self study) 
1 
15 
15 
Total Work Load 


125 
Total Work Load / 25 (h) 


5 
ECTS Credit of the Course 


5 