After completing the course, students should:

• Have a solid introduction to studies in mathematics on university level
• Have knowledge in elementary functions and basic mathematical logic
•  Be able to demonstrate, articulate and use the binomial theorem and implement proof by induction.
• Use key concepts and methods in the calculus of one variable on extreme value calculations and graphing, proof of inequalities, limit calculations, analysis of functions and expressions, inverses, approximations of functions, etc.
• To prove the central theorems in the field of differential calculus in one variable.
•  Be able to interpret the derivative as a rate and interpret the second derivative as acceleration and apply it to problems associated with speeds
• Be able to manage and prove key properties of elementary functions and their inverses.
• Demonstrate the ability to identify and solve problems using the methods taught in the course.

Logic , Mathematical Sets, The Binomial theorem, Induction, Limits, Continuous functions, Inverse functions, Logarithm functions, Differentiation, Implicit differentiation, Solution of equations, Introduction to Matlab.