ALL BOOT CAMPS HAVE ENDED FOR THE FALL SEMESTER

REGULAR BOOT CAMPS FOR FALL 2024 COURSES

Topics for the Spring 2025 semester will be:

A.       REVIEW OF MATHEMATICAL CONCEPTS:  Operations on rational numbers (including order of operations), Conversions between Representations of Fractions, Decimals, Percent and Percent Problems

 B.       LINEAR EQUATIONS AND INEQUALITIES: Solving Linear Equations and Inequalities, Writing English Expressions into Algebraic Equations, and Solving Verbal Problems (age, number, perimeter, real-life)

 C.       POLYNOMIALS AND FACTORING: Operations on Polynomials and Basic Factoring Techniques

 D.      RATIONAL EXPRESSIONS: Simplifying Expressions, Operations on Rational Expressions, Advanced Factoring Techniques, Calculating Zeros

 E.       GRAPHING: Slope-Intercept Form, Point-Slope Form, Parabolas, and Minimum/Maximum

 F.       INTRODUCTION TO FUNCTIONS: Domain, Evaluating Functions, Sketching Graphs

 G.      GEOMETRY: Circles, Piecewise Functions, Even/Odd Functions, Parallel, Perpendicular Lines

 H.      INTRODUCTION TO TRIGONOMETRY: Degrees, Radians, Unit Circle, Arc Length, and Reference Angles

 I.         TRIGONOMETRY CONTINUED: Co-functions, Trig Identity Proofs, Polar Coordinates, Sketching Functions without Calculator

 J.        VERBAL PROBLEMS USING FORMULAE AND SYSTEMS OF EQUATIONS: Systems of Equations and Verbal Problems (general, percentage, mixture, solutions, work)

 K.       INTRODUCTION TO MATHEMATICAL ANALYSIS: Expanding and Simplifying Factorials and Expanding Binomials

 L.        ROMAN NUMERALS AND VENN DIAGRAMS: Reading and Writing Roman Numerals, Creating and Reading Venn Diagrams

 M.     CURVE SKETCHING: Graphs of Important functions, symmetry, asymptotes and transformations.

 N.      ABSOLUTE VALUE AND PIECEWISE FUNCTIONS: Reading piecewise functions, important examples and properties of piecewise functions

 O.      INVERSE FUNCTIONS: Computing inverse functions, the role of inverses, and important examples of inverses

 P.       UNIT CONVERSIONS: Understanding and practicing common unit conversions that appear most often in math/stat/QR settings

 Q.      SEQUENCES: Understanding sequences, their importance in different settings, various forms and common examples of sequences.

 R.       COUNTING AND BASIC PROBABILITY: Permutations, Combinations, Probability of Simple Events, Compound Events, Conditional Events

AA. LIMITS AND CONTINUITY:  Properties of Limits, examples of computing limits, intro to the limit definition of the derivatives, asymptotes of functions

AB.  DERIVATIVES: Properties of derivatives, computing derivatives, implicit differentiation, higher-order derivatives

AC.  INTEGRALS:  Definite and indefinite integration, the Fundamental Theorem of Calculus, the substitution rule

AD.  APPLICATIONS OF CALCULUS:  Related rates, optimization, curve sketching, areas between curves, volumes of solids of revolution