All Modules
Detailed information for each syllabus module, including learning objectives, prerequisites, and suggested study time.
Arithmetic & Number Theory
Fundamental operations, fractions, decimals, percentages, ratios, and number properties. This module builds the essential numerical foundation required for all subsequent topics.
Topics
- Integers, rational numbers, and real numbers
- Prime factorization, GCD, and LCM
- Operations with fractions and decimals
- Percentages and proportional reasoning
- Ratios and rates
- Exponents and roots
Learning Objectives
- Perform arithmetic operations fluently
- Solve problems involving ratios and percentages
- Apply number properties to simplify expressions
- Convert between different number representations
Prerequisites
Basic arithmetic
Number sense
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Algebra & Equations
Linear equations, systems of equations, inequalities, and polynomial operations. This module develops algebraic manipulation skills essential for solving complex problems.
Topics
- Linear equations and inequalities
- Systems of linear equations
- Polynomials and factoring
- Quadratic equations and the quadratic formula
- Rational expressions
- Word problems with algebraic modeling
Learning Objectives
- Solve linear and quadratic equations
- Interpret solutions in context
- Factor polynomials and simplify expressions
- Model real-world problems using algebra
Prerequisites
Module 1
Arithmetic operations
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Geometry & Trigonometry
Plane geometry, solid geometry, and basic trigonometric functions. This module provides the spatial reasoning and measurement skills needed for medical-scientific contexts.
Topics
- Angles, triangles, and polygons
- Circles and arc measures
- Volume and surface area of solids
- Sine, cosine, and tangent
- Solving right triangles
- Law of sines and cosines
Learning Objectives
- Calculate perimeters, areas, and volumes
- Apply trigonometric ratios to solve triangles
- Use geometric reasoning in scientific contexts
- Interpret geometric diagrams accurately
Prerequisites
Module 1
Basic algebra
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Functions & Graphs
Linear, quadratic, exponential, and logarithmic functions; graphical analysis. This module develops the ability to model and interpret relationships between variables.
Topics
- Function notation and evaluation
- Linear and quadratic functions
- Exponential and logarithmic functions
- Interpreting graphs and transformations
- Domain and range
- Composition of functions
Learning Objectives
- Analyze and sketch graphs
- Model real-world phenomena using functions
- Identify key features of graphs
- Apply transformations to functions
Prerequisites
Module 2
Algebra
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Probability
Basic probability rules, conditional probability, and counting principles. Essential for understanding uncertainty and risk in medical-scientific contexts.
Topics
- Sample spaces and events
- Addition and multiplication rules
- Conditional probability and independence
- Permutations and combinations
- Tree diagrams and probability tables
- Bayesian reasoning
Learning Objectives
- Compute probabilities for simple and compound events
- Apply counting techniques
- Use conditional probability in medical contexts
- Interpret probability in diagnostic scenarios
Prerequisites
Module 1
Basic arithmetic
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Statistics
Descriptive statistics, data representation, and basic inferential concepts. Critical for interpreting clinical data and research findings.
Topics
- Mean, median, mode, and range
- Variance and standard deviation
- Histograms, box plots, and scatter plots
- Correlation and basic regression
- Interpreting statistical summaries
Learning Objectives
- Summarize and interpret data
- Draw conclusions from statistical information
- Identify patterns in data
- Evaluate statistical claims in medical literature
Prerequisites
Module 1
Module 5
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Logic & Critical Reasoning
Propositional logic, logical arguments, and critical reasoning for medical-scientific contexts. Develops analytical thinking essential for medical professionals.
Topics
- Propositions and logical connectives
- Truth tables and logical equivalence
- Syllogisms and deductive reasoning
- Identifying logical fallacies
- Conditional statements and counterexamples
- Critical analysis of arguments
Learning Objectives
- Evaluate logical arguments
- Apply critical reasoning to scientific problems
- Identify logical fallacies in reasoning
- Construct valid logical arguments
Prerequisites
None (foundational)
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Sequences & Series
Arithmetic and geometric sequences, finite and infinite series. Applications in scientific contexts including biological growth models.
Topics
- Arithmetic and geometric sequences
- Sum of finite arithmetic series
- Sum of finite and infinite geometric series
- Applications in science and medicine
- Recursive definitions
Learning Objectives
- Find terms and sums of sequences
- Apply series to real-world contexts
- Use sequences to model growth processes
- Distinguish between arithmetic and geometric patterns
Prerequisites
Module 2
Algebra
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Data Interpretation
Reading and interpreting data from tables, charts, and graphs. Essential skill for understanding medical research and clinical data.
Topics
- Reading tables and frequency distributions
- Bar charts, line graphs, and pie charts
- Interpreting scientific data
- Drawing conclusions from data
- Evaluating data credibility
Learning Objectives
- Extract and interpret information from various data representations
- Analyze data trends
- Make evidence-based conclusions
- Identify misleading data representations
Prerequisites
Module 6
Statistics
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Exponents & Logarithms
Properties of exponents and logarithms; exponential and logarithmic equations. Fundamental for understanding pH, drug concentration, and growth/decay processes.
Topics
- Laws of exponents
- Logarithmic properties
- Solving exponential and logarithmic equations
- Applications in scientific contexts
- pH and logarithmic scales
- Half-life and exponential decay
Learning Objectives
- Simplify expressions involving exponents and logarithms
- Solve exponential and logarithmic equations
- Apply logarithms to scientific problems
- Use exponential models in medical contexts
Prerequisites
Module 2
Module 4
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Mathematical Reasoning
Problem-solving strategies, mathematical proofs, and reasoning techniques. Develops higher-order thinking skills essential for medical professionals.
Topics
- Problem-solving heuristics
- Direct and indirect proofs
- Mathematical induction
- Counterexamples and conjectures
- Abstraction and generalization
Learning Objectives
- Apply mathematical reasoning to solve complex problems
- Construct logical arguments
- Validate mathematical statements
- Think abstractly and generalize patterns
Prerequisites
All previous modules
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Exam Preparation & Review
Comprehensive review of all topics; test-taking strategies; timed practice. Prepares students for the actual entrance exam experience.
Topics
- Topic-by-topic review
- Timed practice tests
- Test-taking strategies
- Performance analysis and feedback
- Time management techniques
- Stress management strategies
Learning Objectives
- Demonstrate proficiency in all syllabus topics
- Perform effectively under exam conditions
- Manage time efficiently during tests
- Identify and address weak areas
Prerequisites
All previous modules
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