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Foundation Mathematics is an all new digital learningpackage designed to engage students and build their confidencein mathematical techniques. This fully developed WileyPLUScourse is not another heavyweight, generic textbook but anewly developed solution to meet students' learningexpectations in the 21stcentury.
Foundation Mathematics has been developed fornon-specialists studying mathematics as part of their degreecourse who need to build up their mathematical skills. Startingfrom basic concepts Foundation Mathematics introduces thetopics using unthreatening, illustrative media that easestudents into the theory and demonstrates how mathematicalconcepts relate to straightforward, everyday ideas. This uniqueapproach quickly brings students of varying ability up to speed andtakes the anxiety out of studying mathematics.
Foundation Mathematics raises studentengagement through a variety of integrated andcontextualised tools and media embedded directly into thecourse, giving students the opportunity to practice and playwith concepts for comprehension rather than having to read aroundthe subject. The package utilises video, animations, applets andgames so students can interact with mathematical concepts anddirectly observe the data in action.
The package includes an extensive testing and assignmentfacility containing over 2,000 unique questions, all withalgorithmic variables to give students endless opportunitiesfor practice and revision. The testing facility allows detailedreporting so lecturers can quickly assess large cohorts and seehow well their students are dealing with the material and who needshelp.
Foundation Mathematics covers topics for foundation leveland year one courses, as well as extension material for those thatwant to dig deeper into the theory, making the package ideal fordepartments wishing to increase students' mathematicalunderstanding and raise student outcomes.
List of 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 I
