IBDP Mathematics Analysis & Approaches SL Chapter 3 Notes
Linear and quadratic functions
STUDY NOTES FOR MATHEMATICS – CHAPTER 3 – Linear and quadratic functions
These notes have specially been curated by expert teachers to simplify and enlighten concepts given in IB Mathematics SL. The notes are comprehensive in nature and are sufficient to study the chapter in depth and one need not look for other resources beyond the notes provided on our website which can be accessed for free. The notes for Mathematics IBDP SL are available on our official website and can be downloaded for free. You are one click away from obtaining all that you need to score well in IB Mathematics SL.
All DP mathematics courses serve to accommodate the diverse range of needs, interests and abilities of students, and to fulfill the requirements of various university and career aspirations. The aims of these courses are to enable students to: develop mathematical knowledge, concepts, principles, logical, critical and creative thinking, employ and refine their powers of abstraction and generalization. Students are also encouraged to appreciate the international dimensions of mathematics and the multiplicity of its cultural and historical perspectives.
In this chapter we will study linear and quadratic functions and investigate their graphs which are called parabolas. There are many examples of parabolas in everyday life, including water fountains, bridges and more. A quadratic function is a relationship between two variables x and y which can be written in the form y= ax^2+bx+c. This forms the basis of this chapter. We then use the discriminant. b^2- 4ac, to determine the number of real roots of the equation. If we are given sufficient information on or about a graph, we can also determine the quadratic in whatever form required. We then learn problem solving in quadratics and optimization with quadratics. Lastly, the chapter deals with quadratic inequalities.
- Chapter 1 Sequences and Series
- Chapter 2 Introducing Functions
- Chapter 3 Linear and quadratic functions
- Chapter 4 Rational Functions
- Chapter 5 Differentiation
- Chapter 6 Statistics for univariable data
- Chapter 7 Statistics for bivariate data
- Chapter 8 Probability
- Chapter 9 Exponentials and Logarithms
- Chapter 10 Integration
- Chapter 11 Geometry and Trigonometry
- Chapter 12 Trigonometric functions
- Chapter 13 More calculus
- Chapter 14 Probability distributions