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College algebra and trigonometry
by Castillo, Leticia L.
Publication:
Mandaluyong City
National Book Store
2008
. viii, 772 pages :
, 1 Sets and the numbers systems –
1.1 Sets –
1.2 Number sets –
1.3 Algebra of the real numbers R –
1.4 Order in R –
1.5 Algebra of complex numbers –
Chapter 1 summary –
2 Algebraic expressions –
2.1 Polynomials –
2.2 Addition and subtraction of algebraic expressions –
2.3 Laws of exponents –
2.4 Multiplication of polynomials –
2.5 Special products –
2.6 Binomial expansion –
2.7 Division of polynomials –
2.8 Factoring –
2.9 Rational or fractional expressions –
2.10 Simplification of rational expressions –
2.11 Multiplication and division of rational expressions –
2.12 Addition and subtraction of rational expressions –
2.13 Complex fractions –
2.14 Zero and negative exponents –
2.15 Irrational expressions –
2.16 Simplification of radicals –
2.17 Addition and subtraction of radicals –
2.18 Multiplication and division of radicals –
Chapter 2 summary –
3 Functions and graphs –
3.1 The two-dimensional coordinate system –
3.2 Relations and functions –
3.3 Graphs of functions and relations –
3.4 Operations on functions –
3.5 Types of functions –
Chapter 3 summary –
4 Equations and inequalities –
4.1 The linear function and its graphs –
4.2 The straight line –
4.3 Solution of a linear equation in one variable –
4.4 The quadratic function and its graph –
4.5 Solutions of a quadratic function and its graph –
4.6 nature of the roots of a quadratic equation –
4.7 Equations involving radicals –
4.8 Equations in quadratic form –
4.9 Word problems –
4.10 Variation –
4.11 Polynomial equations in one variable –
4.12 Inequalities –
Chapter 4 summary –
5 Systems of equations and inequalities –
5.1 System of two linear equations in two variables –
5.2 System of two non-linear equations in two variables –
5.3 System of three linear equations in three variables –
5.4 Solutions of systems of linear equations –
5.5 Systems of inequalities in two variables –
Chapter 5 summary –
6 Circular functions –
6.1 The point function –
6.2 The circular functions –
6.3 Identities of the circular functions –
6.4 Angles –
6.5 Trigonometric functions of angles –
6.6 Graph of the circular functions –
6.7 Identities, equations and inequalities –
Chapter 6 summary
7 Inverse functions –
7.1 Inverse of a function –
7.2 Inverse circular or inverse trigonometric relations –
7.3 Inverse circular or inverse trigonometric functions –
7.4 Identities and equations involving inverse circular –
Chapter 7 summary –
8 Applications of trigonometric functions –
8.1 Trigonometric functions of an angle of a right triangle –
8.2 Right triangle solution –
8.3 Oblique triangle solution –
8.4 Vectors –
8.5 Complex numbers –
8.6 Multiplication and division of complex numbers in polar form –
8.7 Powers and roots of complex numbers in polar form –
Chapter 8 summary –
9 The exponential and logarithmic functions –
9.1 The exponential function –
9.2 The logarithmic function –
9.3 Common logarithms –
Chapter 9 summary –
10 Sequences, series, mathematical induction...
10.1 Sequences –
10.2 Series –
10.3 The arithmetic sequence or arithmetic progression –
10.4 The geometric sequence or geometric progression –
10.5 Mathematical induction –
10.6 The binomial theorem –
10.7 Counting principle –
10.8 Permutations –
10.9 Combinations –
10.10 Sets and counting –
Chapter 10 summary.
Date:
2008
Availability:
Items available:
ASCOT Library - Bazal Campus
Filipiniana
[Fil 512.13 C27c 2008]
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Plane trigonometry (text/workbook)
by Batacan, Ma. Carmelita A.
Publication:
Mandaluyong City
National Book Store
2001
. viii, 265 pages :
, Chapter 1 functions and relations –
1.1 Rectangular coordinate system –
1.2 Distance between two points –
1.3 Midpoint formula –
1.4 Function and relation –
1.5 Inverse function and relation –
1.6 Operations with functions and relations –
1.7 Graphs of functions and relations –
Chapter 2 exponential and logarithmic functions –
2.1 Exponential function –
2.2 Logarithmic function –
2.3 Common logarithms –
2.4 Natural logarithm –
2.5 Solution of exponential and logarithmic equations –
Chapter 3 circle, arc length, and angles –
3.1 the circle –
3.2 Arc length of a circle –
3.3. Angles –
3.4 Angle measurement –
3.5 Length of an intercepted arc –
Chapter 4 circular functions –
4.1 Coordinate function –
4.2 Circular functions –
4.3 Signs of the circular functions identities –
4.4 Fundamental circular functions identities –
4.5 Proving identities –
4.6 Special angles –
4.7 Addition formulas –
4.8 Double-angle formulas –
4.9 Half-angle formulas –
4.10 Tales and graphs of circular functions –
Chapter 5 inverse circular functions –
5.1 Inverse circular function –
5.2 Principal values –
5.3 General values –
5.4 Operations involving circular functions –
5.5 Graphs of the inverse circular functions –
Chapter 6 trigonometric equations –
6.1 Trigonometric equations –
6.2 Solution of trigonometric equations –
6.3 Methods for solving trigonometric equations –
Chapter 7 solutions of right triangles –
7.1 Trigonometric functions of an acute angle –
7.2 Trigonometric functions of complementary angles –
7.3 Angle of elevation and angle of depression –
7.4 Bearings –
7.5 Vectors –
Chapter 8 solutions of oblique triangles –
8.1 Oblique triangles –
8.2 Law of sines –
8.3 Law of cosines –
Chapter 9 area of a triangle –
9.1 Area of right triangle –
9.2 Area of an oblique triangle –
Chapter 10 complex numbers
10.1 Pure imaginary number –
10.2 Complex numbers –
10.3 Algebraic operations of complex numbers –
10.4 Graphic representation of complex numbers –
10.5 Graphic representation of addition and subtraction –
10.6 Trigonometric or polar form of complex numbers –
10.7 Roots of complex numbers.
Date:
2001
Availability:
Items available:
ASCOT Library - Bazal Campus
Filipiniana
[Fil 516.242 B31p 2001]
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