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# Boot Camps/First Week Tutoring

**ALL BOOT CAMPS HAVE ENDED FOR THE FALL SEMESTER**

REGULAR BOOT CAMPS FOR FALL 2024 COURSESTopics 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 ProblemsB.

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 TechniquesD.

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

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

INTRODUCTION TO FUNCTIONS:Domain, Evaluating Functions, Sketching GraphsG.

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

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

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

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 BinomialsL.

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

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 functionsO.

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

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

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 EventsAA.

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

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

INTEGRALS:Definite and indefinite integration, the Fundamental Theorem of Calculus, the substitution ruleAD

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