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Full Description
Foundation Mathematics is an all new digital learning
package designed to engage students and build their confidence
in mathematical techniques. This fully developed WileyPLUS
course is not another heavyweight, generic textbook but a
newly developed solution to meet students? learning
expectations in the 21stcentury.
Foundation Mathematics has been developed for
non-specialists studying mathematics as part of their degree
course who need to build up their mathematical skills. Starting
from basic concepts Foundation Mathematics introduces the
topics using unthreatening, illustrative media that ease
students into the theory and demonstrates how mathematical
concepts relate to straightforward, everyday ideas. This unique
approach quickly brings students of varying ability up to speed and
takes the anxiety out of studying mathematics.
Foundation Mathematics raises student
engagement through a variety of integrated and
contextualised tools and media embedded directly into the
course, giving students the opportunity to practice and play
with concepts for comprehension rather than having to read around
the subject. The package utilises video, animations, applets and
games so students can interact with mathematical concepts and
directly observe the data in action.
The package includes an extensive testing and assignment
facility containing over 2,000 unique questions, all with
algorithmic variables to give students endless opportunities
for practice and revision. The testing facility allows detailed
reporting so lecturers can quickly assess large cohorts and see
how well their students are dealing with the material and who needs
help.
Foundation Mathematics covers topics for foundation level
and year one courses, as well as extension material for those that
want to dig deeper into the theory, making the package ideal for
departments wishing to increase students? mathematical
understanding and raise student outcomes.
Contents
PART 1 ALGEBRA
1. Arithmetic
The Number Line
Basic Operations
Powers and Indices
Equalities and Inequalities
Factors and Multiples
Order of Operations
Fractions
2. Co-ordinate Systems
Points in 2-D coordinates
Curves and Lines in 2-D coordinates
Points in 3-D coordinates
Lines and Planes in 3-D coordinates
Summary of Coordinates
3. Basic Algebra
Algebra and Variables
Basic Manipulations
Solution of Equations
Surds
Logarithms
Sequences and Series
4. Functions
Mappings
The Definition of a Function
Types of Functions
Functions and Notation
Some common Functions
Combination of Functions
The Exponential and Logarithmic Functions
Inverse Functions
Parametric Functions
Summary of Functions
5. Sets
The Definition of a Set
Common Notation Used in Handling Sets
Basic Operations to Manipulate Sets
6. Trigonometry
Motivation for Trigonometry
Pre-requisites
Intended Learning Outcomes
Angles and Angular Measure
Triangles and Trigonometry
The Trigonometric Functions
Polar Coordinates
Summary of Trigonometry
PART 2: DIFFERENTIATION
7. Differentiation
Fundamental Definition of a Derivative
Differentiation of Monomials and Polynomials
Differentiation of Trigonometric Functions
Differentiation of the Exponential Function
Differentiation of the Logarithmic Function
The Second Derivative and Higher Order Derivatives
Derivative Calculator
Summary of Differentiation Chapter
8. Further Techniques of Differentiation I
Chain Rule
Product Rule
Quotient Rule
The Inversion Law
Summary of Further Techniques of Differentiation
9. Optimisation Problems
Optimisation Using the Second Derivative
Lagrange Multipliers
10. Further Techniques of Differentiation II
Motivation for Implicit Differentiation
Motivation for Parametric Differentiation
Pre-requisites
Intended Learning Outcomes
Implicit Differentiation
Parametric Differentiation
Summary of Further Techniques of Differentiation II
