2022澳大利亞AMC數學競賽報名通道即將關閉！
澳大利亞數學學術活動Australian Mathematics Competition（簡稱AMC）；于1978年由著名數學家Peter O’Halloran創立的Australian Mathematics Trust（AMT）澳大利亞數學聯合會全權主辦；是AMT 每年為澳大利亞選拔...
IB DP Maths: AI HL復習筆記5.2.4 Second Order Derivatives
Second Order Derivatives What is the second order derivative of a function? If you?differentiate?the?derivative?of a?function?(i.e. differentiate the function a second time) you get the?second orde...
IB DP Maths: AI HL復習筆記5.2.3 Related Rates of Change
Related Rates of Change What is meant by rates of change? A?rate?of?change?is a measure of how a quantity is changing with respect to another quantity Mathematically rates of change are?derivatives...
IB DP Maths: AI HL復習筆記5.2.2 Techniques of Differentiation
Chain Rule What is the chain rule?How do I know when to use the chain rule? How do I use the chain rule? Are there any standard results for using chain rule? Exam Tip You should aim to be able to s...
IB DP Maths: AI HL復習筆記5.2.1 Differentiating Special Functions
Differentiating Trig Functions How do I differentiate sin, cos and tan?These last three results can be derived using the?chain rule For calculus with trigonometric functions angles must be measured...
IB DP Maths: AI HL復習筆記5.1.3 Modelling with Differentiation
Modelling with Differentiation What can be modelled with differentiation? Recall that?differentiation?is about the?rate?of?change?of a function and provides a way of finding?minimum?and?maximum?val...
IB DP Maths: AI HL復習筆記5.1.2 Applications of Differentiation
Increasing & Decreasing Functions What are increasing and decreasing functions? How do I find where functions are increasing, decreasing or stationary? To identify the?intervals?on which a func...
IB DP Maths: AI HL復習筆記5.1.1 Introduction to Differentiation
Introduction to Derivatives Before introducing a?derivative, an understanding of a?limit?is helpful What is a limit? What might I be asked about limits?What is a derivative? How are limits and deri...
IB DP Maths: AI HL復習筆記4.13.2 Transition Matrices
Transition Matrices What is a transition matrix? A?transition matrix?T?shows the?transition probabilities?between the current state and the next state The?columns?represent the?current states The?r...
IB DP Maths: AI HL復習筆記4.13.1 Markov Chains
Markov Chains What is meant by a “state”? States refer to?mutually exclusive events?with the current event?able to change over time Examples of states include: Daily weather conditions The states c...
IB DP Maths: AI HL復習筆記4.12.6 Type I & Type II Errors
Type I & Type II Errors What are Type I & Type II errors? There are?four possible outcomes?of a hypothesis test: H0?is?false?and H0?is?rejected H0?is?true?and H0?is?not rejected The test is...
IB DP Maths: AI HL復習筆記4.12.5 Hypothesis Testing for Correlation
Hypothesis Testing for Correlation What is a hypothesis test for correlation? You can use a?t-test?to test whether there is?linear correlation?between two normally distributed variables If specific...
