# Çankaya Özel Dersler

Calculus esasında kolaydır ama üniversite hocaları mümkün olduğunca zorlaştırır :) Şaka bir yana Calculus'u en güncel soru ve sınav örnekleri üzerinden anlatıyoruz.

Ders Tanıtımı:

Basic algebra review. Functions and graphs, linear functions and straight lines, polynomials, exponential and logarithmic functions. Simple interest, compound interest, effective rates. Future value, present value. Limit, derivative, marginal analysis in economics, applications of derivative. Antiderivatives and Indefinite Integrals, Techniques of Integration, Areas between curves, Applications of Integrals in Business and Economics

Haftalık Konular:

1. Preliminaries (solving inequalities and equations, absolute value, rational  expressions, factoring, quadratic equations, simplifications),

2. Functions and Graphs, Lines, Parabolas and Linear Functions,

3.  Quadratic Functions, Exponential and Logarithmic Functions

4. Simple and Compound Interest, Present and Future Values, Annuities

5. Limits, Infinite Limits, Limits at infinity

6. Continuity, Differentiation

7. Differentiation,  Rules for Differentiation

8. The Product and Quotient Rule, The Chain Rule

9. Derivatives of Logarithmic and Exponential Functions

10. Applications of Derivatives, Marginal Analysis

11. Curve Sketching, Optimization

12. Antiderivatives and Indefinite Integrals, Definite Integral

13.  Substitutiton, Integration by parts, Partial fractions

14. Area between curves

# MATH 108 - Calculus for Business and Economics II

Calculus esasında kolaydır ama üniversite hocaları mümkün olduğunca zorlaştırır :) Şaka bir yana Calculus'u en güncel soru ve sınav örnekleri üzerinden anlatıyoruz.

Ders Tanıtımı:

Systems of Linear Equations, Augmented Matrices, Gauss-Jordan Elimination, Algebraic Operations on Matrices, Determinants of Matrices, Cramer’s Rule, Functions of Several Variables, Partial Derivatives, Relative Extrema, Lagrange Multipliers, Double Integrals, Differential Equations, First Order  Differential Equations, Sequences and Series, First Order Difference Equations.

Haftalık Konular:

1. Review on Integration

2. Review on Integration

3. Matrices, equality of matrices, transpose of a matrix, special matrices

4. Matrix addition and scalar multiplication, subtraction of matrices, Matrix Multiplication

5. Systems of linear equations, Solving systems of equations by Gauss-Jordan elimination method, Row reduced echelon form

6. Systems of linear equations, Solving systems of equations by Gauss-Jordan elimination method, Row reduced echelon form

7.  First Midterm Exam

8.  Determinants of Matrices, Adjoint, Cramer’s Rule, Finding Inverses in two ways, examples

9. Functions of Several Variables, Partial Derivatives, marginal cost for functions of two variables

10. Implicit differentiation, Relative Extrema, Lagrange Multipliers

11.  Second Midterm Exam

12. Remarks on integration techniques, Double Integrals

13. First Order Differential Equations, Exact Equations,Linear Equations, Introduction to Sequences&Series,

14. First order difference equations Review