Technical Mathematics with Calculus

Numerical Computation. Introduction to Algebra. Simple Equations and Word Problems. Functions. Graphs. Geometry. Right Triangles and Vectors. Factors and Factoring. Fractions and Fractional Equations. Systems of Linear Equations. Determinants. Matrices. Exponents and Radicals. Quadratic Equations. Oblique Triangles and Vectors. Radian Measure, Arc Length, and Rotation. Graphs of the Trigonometric Functions. Trigonometric Identities and Equations. Ratio, Proportion, and Variation. Exponential and Logarithmic Functions. Complex Numbers. Analytic Geometry. Binary, Hexadecimal, Octal, and BCD Numbers. Inequalities and Linear Programming. Sequences, Series, and the Binomial Theorem. Introduction to Statistics and Probability. Derivatives of Algebraic Functions. Graphical Applications of the Derivative. More Applications of the Derivative. Integration. Applications of the Integral. More Applications of the Integral. Derivatives of Trigonometric, Logarithmic, and Exponential Functions. Methods of Integration. Differential Equations. Solving Differential Equations by the Laplace Transform and by Numerical Methods. Infinite Series. Appendices. Indexes.