Online assessment: an introduction to math software which generates individualized assessments and feedback. Expressions and Equations: Evaluation of an algebraic expression. Definition and evaluation of independent and dependent variables. Manipulating formulae and transposition Logarithms, Exponentials and Hyperbolic Functions: Definitions and laws of logarithms (log) and exponentials (exp). Graphs of log and exp. Manipulation of expressions involving log and exp. Definition and drawing the graph of hyperbolic functions. Use of identities associated with hyperbolic functions. Application of linear, log and exponential functions: Applications of the straight-line equation. Linear-linear graphs and linear interpolation. Reduction of algebraic equations. Linear graphs of logarithmic functions. Log-linear scales. Log-log scales Introduction to differentiation: Derivatives as rate of change. Definition of a derivative. Derivatives of polynomials, differentiation of other common function. Higher derivatives. The chain, product and quotient rules. Implicit and Parametric differentiation. Curve sketching, stationary points. Simple rate problems Introduction to Integration: Basic ideas and definitions. Anti-derivatives. Definite and indefinite integrals. Fundamental theorem of calculus. Area under a curve. Rules of integration and Table of Standard integrals. Infinite limits. Data Handling and representation: Data, data averages and variation of data. Elementary probability. Laws of Probability. Probability distributions. Engineering, science and economic applications. Vectors: Basic Operations. Components. Multiply a Vector by a scalar. Three-Dimensional Coordinate Frame. Direction Ratio and Direction Cosine. Scalar Product (or dot product). Vector Product (or cross product). Triple Vector Product. Vector Equation of a line and a plane.
- Teacher: Dr. Dina Abd El Hamied 56
- Teacher: Eng. Marwa Gamal 66
- Teacher: Fatma Hedia