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1.1 6572_Relationship_between_roots_and_coefficients_of_a_quadratic_equation_(1)_ExamSolutions_Maths
免 08:081.2 6573_Relationship_between_roots_and_coefficients_of_a_quadratic_equation_(2)_ExamSolutions
免 07:071.3 6574_Roots_of_a_Cubic_Equation_ExamSolutions
04:041.4 6575_Finding_a_Cubic_Equation_with_Reciprocal_Roots_of_another_ExamSolutions_maths_problems_answered
08:081.5 6576_Roots_of_a_Quartic_Equation_ExamSolutions
08:081.6 6577_Roots_of_a_Quartic_Equation_(example)_ExamSolutions
11:111.7 6578_Identity_Sum_of_Cubes_of_Roots_of_a_Cubic_Equation_ExamSolutions
09:091.8 6579_Identity_Sum_of_Product_Pairs_of_Cubes_of_Roots_ExamSolutions
09:091.9 6580_Roots_of_a_Cubic_Equation_(example)_ExamSolutions
08:082.1 6858_Mean_average_value_of_a_function
试 09:092.2 6859_Mean_value_of_a_function_Transformations
10:102.3 6860_Mean_average_value_of_a_function_Example
07:073.1 6855_Trigonometry_The_t_formulae_explained
试 04:043.2 6856_Using_the_t_formulae_to_solve_trig._equations
08:083.3 6857_t_formulae_Taking_t=tan_may_be_easier_than_t=tan_2_SEE_WHY
08:084.1 6581_Summing_Series_r_and_ar_b
免 12:124.2 6582_Summing_Series_Harder_types_for_r_and_ar_b
11:114.3 6583_Series_Sum_of_Squared_Types_r^2
09:094.4 6584_Series_Sum_of_Cube_Types_r^3
06:064.5 6585_Series_Sum_of_Composite_Functions
08:084.6 6586_Summing_Series_The_difference_method
14:424.7 6587_Difference_Method_factorial_example
05:515.1 6588_Mathematical_Induction_Proof_of_r=n_1_2
免 07:075.2 6589_Proof_by_Induction_Sum_of_series_r^2
试 07:075.3 6590_Mathematical_Induction_Sum_of_series_r^3
08:085.4 6591_Proof_by_Induction_Sum_of_series_Example
07:075.5 6592_Proof_by_Induction_Sum_of_series_Example
06:065.6 6593_Proof_by_Induction_FP1_Edexcel_January_2013_Q8(a)
08:085.7 6594_Proof_by_Induction_FP1_Edexcel_January_2013_Q8(b)
07:075.8 6595_Proof_by_Induction_(Series)_FP1_Edexcel_January_2012_Q6(a)
08:085.9 6596_Summing_Series_FP1_Edexcel_January_2012_Q6(b)(c)
05:055.10 6597_Mathematical_Induction_Divisibility_Tests_(1)
08:085.11 6598_Mathematical_Induction_Divisibility_Tests_(2)
10:105.12 6599_Edexcel_Further_Maths_FP1_June_2014_Q9
06:065.13 6600_Edexcel_Further_Maths_June_2010_Q7a
02:025.14 6601_Edexcel_Further_Maths_June_2010_Q7b
04:045.15 6602_Mathematical_Induction_Matrix_Multiplication_1
06:065.16 6603_Mathematical_Induction_Matrix_Multiplication_2
10:105.17 6604_Proof_by_Induction_Recurrence_Relation_Further_Maths_FP1_Edexcel_June_2013_Q9_a
05:055.18 6605_Proof_by_Induction_Matrices_Further_Maths_FP1_Edexcel_June_2013_Q9_b
08:086.1 6861_Vectors_Scalar_or_Dot_Product
免 10:106.2 6862_Scalar_Product_Example
免 08:086.3 6863_Test_for_Perpendicular_Vectors_3D_Scalar_Product
05:056.4 6864_Scalar_Product_Perpendicular_Vectors_Example
06:066.5 6865_Vectors_Equation_of_a_Line_Introduction
09:096.6 6866_Sketching_3D_vector_problems_lines_and_points
04:046.7 6867_Vector_Equation_of_a_Line_Example_1
04:046.8 6868_Vectors_equation_of_a_line_through_two_points
07:076.9 6869_Vectors_Angle_between_two_lines_given_their_equations
05:056.10 6870_Vectors_Conditions_for_lines_to_be_parallel
10:106.11 6871_Vectors_Intersecting_and_Skew_Lines
12:126.12 6872_Vectors_Closest_point_Shortest_distance_to_a_line
11:116.13 6873_Shortest_distance_of_a_point_to_a_line
08:086.14 6886_Vectors_Cartesian_Equation_of_a_Line_in_3D
09:407.1 6799_Complex_Numbers_What_are_they_Imagine_no_more.
免 13:137.2 6800_Complex_Numbers_Addition_Subtraction_and_Multiplication
免 13:137.3 6801_Complex_Numbers_Complex_Conjugates
免 05:057.4 6802_Complex_Numbers_Division_Example
免 05:057.5 6803_Complex_Numbers_The_Argand_Diagram
免 07:077.6 6804_Complex_Numbers_Examples
05:057.7 6805_Complex_Numbers_Modulus_and_Argument
16:167.8 6806_Complex_Numbers_Equations_Equating_real_imag._parts
12:127.9 6807_Complex_numbers_Finding_Square_roots_of
12:127.10 6808_Complex_Numbers_Roots_of_a_quadratic_equation_conjugate_pairs
09:097.11 6809_Complex_Numbers_Roots_of_a_cubic_equation
14:147.12 6810_Complex_Numbers_Roots_of_a_quartic_equation
14:147.13 6811_Edexcel_FP1_Further_Maths_June_2014_Q1_a
02:027.14 6812_Edexcel_FP1_Further_Maths_June_2014_Q1_b
04:047.15 6813_Complex_Number_Operations_Further_Maths_FP1_Edexcel_June_2013_Q7_a_b
06:067.16 6814_Complex_Number_Operations_Further_Maths_FP1_Edexcel_June_2013_Q7_c
04:047.17 6815_Argument_of_a_Complex_Number_Further_Maths_FP1_Edexcel_June_2013_Q7_d
03:037.18 6816_Complex_Numbers_FP1_Edexcel_January_2013_Q2
07:077.19 6817_Complex_Numbers_FP1_Edexcel_January_2012_Q1
08:087.20 6818_Complex_Numbers_FP1_Edexcel_January_2011_Q7
09:097.21 6819_Complex_Numbers_Reflection_in_the_Real_Axis
02:027.22 6820_Example_to_try_on_Reflecting_a_Complex_Number_in_the_Real_Axis
03:037.23 6821_Complex_Numbers_roots_FP1_Edexcel_January_2012_Q5
08:087.24 6822_Complex_Numbers_Roots_FP1_Edexcel_January_2013_Q5
05:057.25 6823_Roots_of_a_Cubic_Equation_Further_Maths_FP1_Edexcel_June_2013_Q3
05:057.26 6824_Edexcel_FP1_Further_maths_June_2014_Q3
06:067.27 6825_Complex_Numbers_Mod_Arg_form_r_cos_x_isin_x
15:157.28 6826_Complex_Numbers_Exponential_Form_or_Euler_s_Form
09:097.29 6827_Multiplication_Rule_for_the_Mod_Arg_of_two_Complex_Numbers
07:077.30 6828_Division_Rule_for_the_Mod_Arg_of_two_Complex_Numbers
09:097.31 6829_Multiplication_Division_of_Complex_Numbers_in_Mod_Arg_form_Examples
11:117.32 6830_Mod_Arg_of_Complex_Numbers_Further_Maths_FP2_Edexcel_June_2013_Q2
05:057.33 6831_Complex_Numbers_de_Moivre_s_Theorem
04:047.34 6832_Using_de_Moivre_s_Theorem_Example_1
05:057.35 6833_Using_de_Moivre_s_Theorem_Example_2
09:097.36 6834_using_de_Moivre_s_theorem_to_express_sin_n_and_cos_n_in_terms_of_sin_and_cos
11:117.37 6835_Example_using_de_Moivre_s_theorem_Trig._identities
10:107.38 6836_Exam_Question_FP2_Further_Maths_June_2014_Q4_a
05:057.39 6837_Edexcel_FP2_Further_Maths_June_2014_Q4_b
03:037.40 6838_Exam_Question_FP2_Edexcel_June_2011_Q7_a
07:077.41 6839_Trig_Equation_FP2_Edexcel_June_2011_Q7_b
07:077.42 6840_Another_identity_using_de_Moivre_s_theorem
07:077.43 6841_Powers_of_cos_expressed_in_multiple_angles
09:097.44 6842_Odd_Powers_of_sin_expressed_in_multiple_angles
09:097.45 6843_Even_Powers_of_sin_expressed_in_multiple_angles
06:067.46 6844_Complex_Numbers_Cube_Roots_of_1_unity
19:197.47 6845_Complex_Numbers_How_to_find_the_nth_root
14:147.48 6846_Mod_Arg_form_of_a_Complex_Number_FP2_Edexcel_June_2012_Q3_a
04:047.49 6847_4th_Roots_of_a_complex_number_FP2_Edexcel_June_2012_Q3_b
07:077.50 6848_Loci_in_the_Complex_Plane_Circle
11:117.51 6849_Complex_Numbers_Loci_Perpendicular_bisector
13:137.52 6850_Complex_Numbers_Loci_Half_lines
11:117.53 6851_Complex_Numbers_Loci_Regions
10:107.54 6852_Complex_Numbers_Loci_FP2_Edexcel_June_2012_Q8_a
06:067.55 6853_FP2_Edexcel_June_2012_Q8_b_c
09:097.56 6854_Complex_numbers_Further_Maths_IB_HL_Specimen_questions
21:218.1 6887_Polar_Coordinates_Defining_the_position_of_a_point
免 09:098.2 6888_Cartesian_to_Polar_Coordinates_Exercise
免 10:108.3 6889_Polar_to_Cartesian_Coordinates_(Exercise)
09:098.4 6890_Converting_Polar_Curves_to_Cartesian_Form
11:118.5 6891_Converting_Cartesian_Curves_to_Polar_Form
11:118.6 6892_Polar_Graphs_the_Spiral
05:058.7 6893_Polar_Curves_Half_Lines
03:038.8 6894_Polar_Curves_Circles_and_Arcs
03:038.9 6895_Polar_Curves_Cardioid
06:068.10 6896_Polar_Curves_r=asin2(theta)
04:048.11 6897_Area_bounded_by_a_Polar_Curve
04:048.12 6898_Polar_Curves_Area_bounded_by_a_Cardioid
09:098.13 6899_Area_of_a_Loop_in_a_Polar_Curve
06:068.14 6900_Tangents_to_a_Polar_Curve_Parallel_to_the_Initial_Line
11:118.15 6901_Tangents_to_a_Polar_Curve_Perpendicular_to_the_Initial_Line
14:149.1 6619_Matrices_Introduction
免 04:049.2 6620_Matrices_Addition_Subtraction_and_Scalar_Multiplication
免 06:069.3 6621_Matrices_Matrix_Multiplication
20:209.4 6622_Matrices_Identity_and_Inverse_of_a_2x2_Matrix
12:129.5 6623_Singular_Matrix_Example
03:039.6 6624_Solving_a_Matrix_Equation
04:049.7 6625_Matrix_Identity_Example
05:059.8 6626_Matrices_Transposing_Matrices_and_Symmetric_Matrices
03:039.9 6627_Determinant_of_a_3x3_Matrix
10:109.10 6628_Determinant_of_a_3x3_matrix_Example_1
01:019.11 6629_Determinant_of_a_3x3_matrix_Example_2
01:019.12 6630_Determinant_of_a_3x3_matrix_Example_3
01:019.13 6631_Determinant_of_a_3x3_matrix_Example_4
01:019.14 6632_Determinant_of_a_3x3_matrix_Example_5
01:019.15 6633_Determinant_of_a_3x3_matrix_Example_6
01:019.16 6634_Matrices_Minors_of_elements_in_a_3x3_matrix
04:049.17 6635_Matrices_Finding_the_cofactor_matrix
03:039.18 6636_Matrices_Inverse_of_a_3x3_matrix
06:069.19 6637_Matrices_Working_with_Inverse_Matrices_Example
06:069.20 6638_Inverse_Matrices_on_a_Casio_ClassWiz_Calculator
04:049.21 6639_Simultaneous_Equations_Matrix_Method
09:099.22 6640_Solution_of_3_linear_simultaneous_equations_by_matrices
13:1310.1 6641_Transformation_Matrices_Rotation_90_degrees
免 07:0710.2 6642_Transformation_Matrices_Rotation_180_degrees
免 06:0610.3 6643_Transformation_Matrices_Rotation_270_degrees
06:0610.4 6644_Transformation_Matrices_Rotation_theta_degrees
08:0810.5 6645_Transformation_Matrices_Reflection_x_axis
05:0510.6 6646_Transformation_Matrices_Reflection_y_axis
05:0510.7 6647_Transformation_Matrices_Reflection_the_line_y=x
05:0510.8 6648_Transformation_Matrices_Reflection_the_line_y=_x
05:0510.9 6649_Transformation_Matrices_Enlargement_scale_factor_k_positive
06:0610.10 6650_Transformation_Matrices_Enlargement_scale_factor_k_negative
07:0710.11 6651_Matrix_Transformations_Test
17:1710.12 6652_Combining_Matrix_Transformations
09:0910.13 6653_Matrices_Reversing_a_transformation
06:0610.14 6654_Determinant_of_a_matrix_as_the_area_scale_factor
06:0610.15 6655_Proof_Determinant_of_a_matrix_as_the_area_scale_factor
11:1111.1 6938_Taylor's_Series_Expansions_Derivation_ExamSolutions_Maths_Revision
08:0311.2 6939_Taylor_Series_example_in_ascending_powers_of_x
07:5311.3 6940_Taylor_Series_example_in_ascending_powers_of_(x_a)
08:1211.4 6941_Solving_differential_equations_by_Taylor's_series_ExamSolutions_Maths_Revision
10:2312.1 6612_Maclaurins_Series_Expansion
免 09:0912.2 6613_Maclaurins_Series_Expansion_for_e_x
06:0612.3 6614_Maclaurins_Series_Expansion_for_sin_x_cos_x
07:0712.4 6615_Maclaurins_Series_Expansion_for_ln_1_x
09:0912.5 6616_Further_series_using_Maclaurins_Series
07:0713.1 6874_Differentiating_inverse_sin_x_a
免 09:0913.2 6875_Differentiating_inverse_cos_x_a
09:0913.3 6876_Differentiating_inverse_tan_x_a
07:0713.4 6877_Differentiating_Inverse_Trig_Functions_Example_1
03:0313.5 6878_Differentiating_Inverse_Trig_Functions_Example_2
07:0713.6 6879_How_to_differentiate_Inverse_Trig_Functions_Example_3
04:0413.7 6880_Standard_Integrals_1_a_2_x_2_and_1_root_a_2_x_2
08:0813.8 6881_Integrals_which_require_completing_the_square
06:0613.9 6882_Integration_using_completing_the_square_arctan_type_2
07:0713.10 6883_Integration_using_completing_the_square_arcsin_type_2
06:0613.11 6884_How_to_integrate_1_root_a_2_x_2_with_limits
07:0713.12 6885_How_to_integrate_1_a_2_x_2_with_limits
07:0714.1 6902_Hyperbolic_Functions_Definitions_ExamSolutions
免 09:0914.2 6903_Graphs_of_sinh_x_cosh_x_and_tanh_x_ExamSolutions
免 06:0614.3 6904_Graphs_of_sech_x_cosech_x_and_coth_x_ExamSolutions
10:1014.4 6905_Graphs_of_Inverse_Hyperbolic_Functions_ExamSolutions
12:1214.5 6906_arsinh(x)_as_a_natural_logarithm_ExamSolutions
07:0714.6 6907_arcosh(x)_as_a_natural_logarithm_ExamSolutions
11:1114.7 6908_artanh(x)_as_a_natural_logarithm_ExamSolutions
07:0714.8 6909_Solving_simple_Hyperbolic_Equations_using_a_Casio_Calculator_ExamSolutions
15:1514.9 6910_Solving_hyperbolic_equations_using_identities_ExamSolutions
09:0914.10 6911_Solving_Hyperbolic_Equations_using_Exponentials_ExamSolutions
08:0814.11 6912_Osborns_Rule_for_Hyperbolic_Identities_ExamSolutions
10:1014.12 6913_Proof_of_the_differentials_of_sinh_cosh_and_tanh_x_ExamSolutions
06:0614.13 6914_Differentiating_hyperbolic_functions_containing_sinh_cosh_tanh(x)_ExamSolutions
07:0714.14 6915_Proof_of_the_differentials_of_cosech_sech_and_coth_x_ExamSolutions
09:0914.15 6916_Differentiating_hyperbolic_functions_containing_sech_cosech_coth(x)_ExamSolutions
08:0814.16 6917_Differentiating_hyperbolic_functions_(short_exercise)_ExamSolutions
08:0814.17 6918_Hyperbolic_Functions_How_to_differentiate_arsinh_(x_a)_ExamSolutions
07:0714.18 6919_Hyperbolic_Functions_How_to_differentiate_artanh_(x_a)_ExamSolutions
06:0614.19 6920_Hyperbolic_Functions_How_to_differentiate_arcosh_(x_a)_ExamSolutions
07:0715.1 6617_Convergent_Integrals
08:0815.2 6618_Divergent_Integrals
03:0316.1 6606_Volume_of_Revolution_about_the_x_axis_1
免 05:0516.2 6607_Volumes_of_Revolution
08:0816.3 6608_Volume_of_Revolution_about_the_x_axis_between_curves_2
08:0816.4 6609_Volume_of_Revolution_about_the_y_axis_1
05:0516.5 6610_Volume_of_Revolution_about_the_y_axis_between_curves_2
08:0816.6 6611_Volumes_of_Revolution_for_Parametric_Equations_x_axis
09:0917.1 6921_Differential_Equations_Exact_Type
免 08:0817.2 6922_Integrating_factor_Differential_Equations
免 11:1117.3 6923_Differential_Equations_Integrating_factor_type_(Examples)
11:1117.4 6924_Differential_Equations_Substitution_Type_(1)
11:1117.5 6925_Differential_Equations_Substitution_Type_(2)
11:1117.6 6926_2nd_Order_Linear_Differential_Equations_Auxillary_Equation_Introduction
05:0517.7 6927_2nd_Order_Linear_Differential_Equations_Auxillary_Equation_Real_Different_Roots
03:0317.8 6928_2nd_Order_Linear_Differential_Equations_Auxillary_Equation_Equal_Roots
03:0317.9 6929_2nd_Order_Linear_Differential_Equations_Auxillary_Eqn_Imaginary_Roots
05:0517.10 6930_2nd_Order_Linear_Differential_Equations_P.I._=_Constant
07:0717.11 6931_2nd_Order_Linear_Differential_Equations_P.I._=_Linear_type
06:0617.12 6932_2nd_Order_Linear_Differential_Equations_P.I._=_Quadratic_type
09:0917.13 6933_2nd_Order_Linear_Differential_Equations_P.I._=_Exponential_type
05:0517.14 6934_2nd_Order_Linear_Differential_Equations_P.I._=_trig_type
10:1017.15 6935_Special_Case_Particular_Integral_(k)_2nd_Order_Linear_Differential_Equation
05:0517.16 6936_Special_Case_Particular_Integral_(Exp)_2nd_Order_Linear_Differential_Equation
08:0817.17 6937_2nd_Order_Linear_Differential_Equations_Particular_Solutions
10:10