**Syllabus**

**Weeks & Contents**

**1 Anti-derivatives and Indefinite Integrals**

**2 Method of Substitution, Integration by Rational Fractions **

**3 Techniques of Integration, Integration by Parts **

**4 Areas between curves and Applications**

**5 Matrices, equality of matrices, transpose of a matrix, special matrices **

**6 Matrix addition and scalar multiplication, subtraction of matrices, Matrix Multiplication **

**7 Systems of linear equations, Solving systems of equations by elimination method **

**8 Solving a system by reducing matrices, Row reduced echelon form **

**9 Determinants, Finding Inverses, examples **

**10 Functions of Several Variables, Partial Derivatives **

**11 Marginal cost for functions of two variables **

**12 Marginal cost for functions of two variables **

**13 Relative Extrema with Examples from Economy **

**14 Lagrange Multipliers with Examples from Economics**