Text: Basic Technical Mathematics with Calculus 9th Edition. Author: Allyn J.
Washington. Course Outline (This is an old outline used in 1995 and slightly
altered ...
PENN STATE UNIVERSITY MATH 081: TECHNICAL CALCULUS I(Tentative) Text: Basic Technical Mathematics with Calculus 9th Edition Author: Allyn J. Washington Course Outline (This is an old outline used in 1995 and slightly altered in 2011.) Chapter Sections Topics 1 1,2 Set notation and Order of Ops review 3, 4, 5 Approx. and exct numbers, Rules for Exp., 6 roots and radicals simplify Poly Ops 7 10 solving eqn and inequalities 11 formula and literal Equations 12 Applied word Problems 2 1 Lines and Angles, corr. segments 2 triangles, area, Hero’s formula, smiliar triangles, perimeter 3 Quadrilaterls, Perimeter and Areas 4 Circles, Central Angles, Inscribed Angles, Tangents and Chords 5 Measurement of Irregular Areas, Trapezoidal and Simpsons rule 6 Solid Geometry, Volumes and Surface Areas 3 1,2 Functions 3,4 Rectangular Coordinates, Graph of a Function 4 1,2 Angles, Defining the Trigonometric Function 3 Values of the Trigonometric Function 4 The Right Triangle 5 Application of Right Triangles EXAMINATION I 5 1 Linear Equations 2,3 Graphs of Linear Eqns, Solving Systems Graphically 4 Solving Systems of 2 Linear Eqns in 2 vars algebraically 5,6,7 2 by 2, 3 bby 3, 4 by 4 determinants 16 1 Introduce Matrices and Basic Operations 2 Multiplication of Matrices 6 Higher-Order Determinants, Augmented Matrix 6 1 Special Products 2 , 3, 4 Common Factors and Difference of Squares, etc. 5 Equivalent Fractions 6 Multiplication and Division of Fractions 7 Addition and Subtraction of Fractions 8 Equations Involving Fractions EXAMINATION II 7 1 Quadratic Eqn solutions by factoring Completing The Square 2 3 Quadratic Formula and graphing using -b/(2a) 8 1 Signs of the Trigonometric Functions 2 Trigonometric Functions of Any Angle 3,4 Radians; Applictions of Radian Measure 9 1,2 Introduction to Vectors; Components 3 Vector Addition by components 4 Applications of Vectors 5 Oblique Triangles 6 Law of Sines 7 Law of Cosines FINAL EXAMINATION
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